EXHIBIT 4.06


         SECOND SUPPLEMENTAL INDENTURE, dated as of August 27, 1997 (the "Second
Supplemental Indenture"), to the Indenture, dated as of April 15, 1996, as
supplemented by the First Supplemental Indenture dated as of September 12, 1996
(the "Indenture") between HYPERION TELECOMMUNICATIONS, INC., a Delaware
corporation (the "Company"), and BANK OF MONTREAL TRUST COMPANY, a trust company
organized under the laws of the State of New York (the "Trustee").

         WHEREAS, the Company desires and has requested the Trustee to join it
in the execution and delivery of this Second Supplemental Indenture in order to
amend certain provisions of the Indenture to permit the Company's proposed
issuance of certain Senior Secured Notes due 2004 and to grant a first priority
security interest in certain of the Company's assets to the holders of such
Senior Secured Notes due 2004; and

         WHEREAS, Section 9.02 of the Indenture provides that a supplemental
indenture may be entered into by the Company and the Trustee with the consent of
at least a majority of the holders of the Senior Notes issued pursuant thereto,
provided certain conditions are met; and

         WHEREAS, at least the minimum number of the holders of the Senior Notes
required by Section 9.02 of the Indenture have consented to the proposed
amendments to the Indenture and the conditions set forth in the Indenture for
the execution and delivery of this Second Supplemental Indenture have been
complied with; and

         WHEREAS, all things necessary to make this Second Supplemental
Indenture a valid agreement of the Company and the Trustee, in accordance with
its terms, and a valid amendment of, and supplement to, the Indenture, have been
done;

         NOW THEREFORE, in consideration of the premises and the mutual
covenants herein, the Company agrees with the Trustee that the Indenture is
supplemented and amended, solely to the extent and for the purposes expressed
herein, as follows:

         Section 1.        Definitions.

                  (a) Any capitalized term used herein and not otherwise defined
         herein shall have the meaning given in the Indenture.

                  (b)      The definition of "Disqualified Stock" in Section
         1.01 of the Indenture is hereby amended and restated as follows:

         "Disqualified Stock" means any Capital Stock which, by its terms ( or
         by the terms of any security into which it is convertible or for which
         it is exchangeable), or upon the happening of any event, matures or is
         mandatorily redeemable, pursuant to a sinking fund obligation or
         otherwise, or redeemable at the option of the holder thereof, in whole
         or in part, on or prior to the date that is 91 days after the date on
         which the Senior Notes mature; provided, however, that any Capital
         Stock which would not constitute Disqualified Stock but for provisions
         thereof giving holders thereof the right to require the Company to
         repurchase or redeem such Capital Stock upon the occurrence of a Change
         of Control occurring prior to the final maturity of the Senior Notes
         shall not constitute Disqualified Stock if the change of control
         provisions applicable to such Capital Stock are no more favorable to
         the holders of such Capital Stock than the provisions applicable to the
         Senior Notes contained in the covenant described in Section 4.15 and
         such Capital Stock specifically provides that the Company will not
         repurchase or redeem any such stock pursuant to such provisions prior
         to the Company's repurchase of such Senior Notes as are required to be
         repurchased pursuant to the covenant described in Section 4.15.

                  (c)      The definition of "Permitted Investments" in Section
         1.01 shall be amended and restated in its entirety to read as follows:

         "Permitted Investments" means

                  (a) any Investment in a Wholly Owned Subsidiary of the Company
         that is engaged, either directly or indirectly through a Qualified
         Subsidiary or Joint Venture, in the Telecommunications Business;

                  (b) any Investment in a Qualified Subsidiary of the Company
         that is directly engaged in the Telecommunications Business;

                  (c) any Investment in Cash Equivalents;

                  (d) any Investment in a Person that is not a Subsidiary of the
         Company, if as a result of such Investment (i)(A) such Person becomes a
         Qualified Subsidiary or Wholly Owned Subsidiary of the Company or (B)
         such Person is merged, consolidated or amalgamated with or into, or
         transfers or conveys substantially all of its assets to, or is
         liquidated into, the Company or a Qualified Subsidiary and (ii)(A) such
         Wholly Owned Subsidiary, either directly or indirectly through a
         Qualified Subsidiary or a Joint Venture, is engaged in the
         Telecommunications Business or (B) such Qualified Subsidiary is
         directly engaged in the Telecommunications Business;

                  (e) any Permitted Joint Venture Investment;

                  (f) any Investment made as a result of the receipt of non-cash
         consideration (whether or not such non-cash consideration is deemed to
         be cash for the purposes of Section 4.10) from an Asset Sale that was
         made pursuant to and in compliance with Section 4.10 hereof; or

                  (g) any Investment in an Enhanced Services Venture; or

                  (h) any Investment made pursuant to the terms of the Escrow
         and Disbursement Agreement (as defined in the Secured Notes Indenture).

                  (d)      The definition of "Permitted Liens" in Section 1.01
         shall be amended and restated as follows:

         "Permitted Liens" means

                  (i) Liens on the property of the Company, any Subsidiary or
         any Permitted Joint Venture securing Obligations under Indebtedness
         that may be incurred pursuant to clause (i) of Section 4.09 hereof;

                  (ii) Liens in favor of the Company;

                  (iii) Liens on property of a Person existing at the time such
         Person is merged into or consolidated with the Company, any Subsidiary
         or any Permitted Joint Venture; provided that such Liens were in
         existence prior to the contemplation of such merger or consolidation
         and do not extend to any assets other than those of the Person merged
         into or consolidated with the Company;

                  (iv) Liens on property existing at the time of acquisition
         thereof by the Company, any Subsidiary or any Permitted Joint Venture,
         provided that such Liens were in existence prior to the contemplation
         of such acquisition;

                  (v) Liens to secure the performance of statutory obligations,
         surety or appeal bonds, performance bonds or other obligations of a
         like nature incurred in the ordinary course of business;

                  (vi) Liens existing on the date of this Indenture;

                  (vii) Liens on property of Subsidiaries and Permitted Joint
         Ventures securing Obligations under Indebtedness incurred pursuant to
         clause (viii) of Section 4.09 hereof but only to the extent that (a) in
         the case of Subsidiaries and Permitted Joint Ventures that are
         incurring Indebtedness other than Related Network Debt, such Liens
         secure only such Indebtedness incurred by such Subsidiary or such Joint
         Venture; and (b) in the case of subsidiaries and Joint Ventures that
         are incurring Related Network Debt, such Liens secure only such Related
         Network Debt;

                  (viii) Liens securing Obligations under the Senior Notes and
         this Indenture;

                  (ix) Liens securing Obligations under Vendor Debt pursuant to
         clause (ii) of Section 4.09 hereof; provided that the principal amount
         at maturity of such Vendor Debt secured by such Lien does not exceed
         100% of the purchase price or cost of acquisition, construction or
         improvement of the Telecommunications Related Assets subject to such
         Liens;

                  (x) Liens for taxes, assessments or governmental charges or
         claims that are not yet delinquent or that are being contested in good
         faith by appropriate proceedings promptly instituted and diligently
         concluded, provided that any reserve or other appropriate provision as
         shall be required in conformity with GAAP shall have been made
         therefor;

                  (xi) Liens incurred in the ordinary course of business of the
         Company, any Subsidiary or any Permitted Joint Venture with respect to
         obligations that do not exceed $5.0 million at any one time outstanding
         and that (a) are not incurred in connection with the borrowing of money
         or the obtaining of advances or credit (other than trade credit in the
         ordinary course of business) and (b) do not in the aggregate materially
         detract from the value of the property or materially impair the use
         thereof in the operation of business by the Company, such Subsidiary or
         such Permitted Joint Venture;

                  (xii) Liens securing Refinancing Indebtedness, but only if,
         and to the extent, that such Liens that are incurred in connection with
         such Refinancing Indebtedness are at least as favorable to the Holders
         of Senior Notes as those contained in the documentation governing the
         Indebtedness being extended, refinanced, renewed, replaced, defeased or
         refunded; or

                  (xiii) Liens securing Obligations under the Secured Notes,
         the Secured Notes Indenture and the Secured Notes Security Documents.

                  (e) The definition of "Pro Forma EBITDA" in Section 1.01 shall
         be amended and restated as follows:

               "Pro Forma EBITDA" means, for any Person, for any period, the
         EBITDA of such Person as determined on a consolidated basis in
         accordance with GAAP consistently applied, after giving effect to the
         following: (i) if, during or after such period, such Person or any of
         its Subsidiaries shall have made any Asset Sale, Pro Forma EBITDA for
         such Person and its Subsidiaries for such period shall be reduced by an
         amount equal to the Pro Forma EBITDA (if positive) directly
         attributable to the assets which are the subject of such Asset Sale for
         the period or increased by an amount equal to the Pro Forma EBITDA (if
         negative) directly attributable thereto for such period, (ii) if,
         during or after such period, such Person or any of its Subsidiaries
         completes an acquisition of any Person or business which immediately
         after such acquisition is a Subsidiary of such Person, Pro Forma EBITDA
         shall be computed so as to give pro forma effect to such Asset Sale or
         the acquisition of such Person or business, as the case may be, as if
         such acquisition had been completed as of the beginning of such period,
         and (iii) if, during or after such period, such Person or any of its
         Subsidiaries incurs any Indebtedness (including without limitation, any
         Acquired Indebtedness) or issues any Disqualified Stock, Pro Forma
         EBITDA shall be computed so as to give pro forma effect (including pro
         forma application of the proceeds therefrom) thereto as if such
         Indebtedness or Disqualified Stock had been incurred as of the
         beginning of such period.

                  (f)      The following definitions are hereby added to
         Section 1.01 of the Indenture:

                  "Investment Grade" means BBB- or higher by Standard & Poor's
         Ratings Group (or any successor rating agency) or Baa3 or higher by
         Moody's Investors Service, Inc. (or any successor rating agency).

                  "Non-Qualified Debt" means Indebtedness (other than Vendor
         Debt or Indebtedness incurred under a Credit Agreement) which (i) is
         rated below Investment Grade or is unrated and (ii) was originally
         issued in (A) a private placement transaction exempt from registration
         under the Securities Act in which the initial purchaser(s) of such
         Indebtedness at the time of such incurrence intend to immediately
         resell such Indebtedness in transactions which are exempt from
         registration under the Securities Act pursuant to Rule 144A, Regulation
         S or other applicable exemption thereunder or (B) a registered offering
         under the Securities Act.

                  "Permitted Indebtedness" means Indebtedness which may be
         incurred by the Company, its Subsidiaries or its Joint Ventures
         pursuant to clauses (i) through (x) of the second paragraph of Section
         4.09 hereof.

                  "Secured Notes" means the Company's 12-1/4% Senior Secured
         Notes due 2004.

                  "Secured Notes Indenture" means the indenture pursuant to
         which the Secured Notes shall be issued.

                  "Secured Notes Security Documents" mean the Pledge Agreement
         (as defined in the Secured Notes Indenture) and the Escrow and
         Disbursement Agreement (as defined in the Secured Notes Indenture).

                  "Stock Collateral" means all of the Company's Capital Stock in
         Hyperion of Florida, Inc., Hyperion of Kentucky, Inc., Hyperion of New
         York, Inc, Hyperion of Tennessee, Inc. and Hyperion of Vermont, Inc.
         pledged pursuant to the Secured Notes Security Documents.

         Section 2.        Offer To Purchase By Application Of Excess Proceeds.
         Section 3.09 of the Indenture is hereby amended and restated as
         follows:

                  In the event that, pursuant to Section 4.10 hereof, the
         Company shall be required to commence an Asset Sale Offer, it shall
         follow the procedures specified below.

                  The Asset Sale Offer shall remain open for a period of 20
         Business Days following its commencement and no longer, except to the
         extent that a longer period is required by applicable law (the "Offer
         Period"). No later than five Business days after the termination of the
         Offer Period (the "Purchase Date"), the Company shall purchase the
         principal amount of Senior Notes required to be purchased pursuant to
         Section 4.10 hereof or, if Senior Notes tendered in response to the
         Asset Sale Offer are less than the amount required to be purchased
         pursuant to Section 4.10, all Senior Notes tendered in response to the
         Asset Sale Offer. Payment for any Senior Notes so purchased shall be
         made in the same manner as interest payments are made.

                  The Company shall comply with any tender offer rules under the
         Exchange Act which may then be applicable, including Rule 14e-1, in
         connection with any offer required to be made by the Company to
         repurchase the Senior Notes as a result of an Asset Sale Offer. To the
         extent that the provisions of any securities laws or regulations
         conflict with provisions of this Section 3.09, the Company shall comply
         with the applicable securities laws or regulations and shall not be
         deemed to have breached it obligations hereunder by virtue thereof.

                  If the Purchase Date is on or after an interest record date
         and on or before the related interest payment date, any accrued and
         unpaid interest shall be paid to the Person in whose name a Senior Note
         is registered at the close of business on such record date, and no
         additional interest shall be payable to Holders who tender Senior Notes
         pursuant to the Asset Sale Offer.

                  Upon the commencement of an Asset Sale Offer, the Company
         shall send, by first class mail, a notice to the Trustee and each of
         the Holders, with a copy to the Trustee. The notice shall contain all
         instructions and materials necessary to enable such Holders to tender
         Senior Notes pursuant to the Asset Sale Offer. The Asset Sale Offer
         shall be made to all Holders. The notice, which shall govern the terms
         of the Asset Sale Offer, shall state:

                  (a) that the Asset Sale Offer is being made pursuant to this
         Section 3.09 and Section 4.10 hereof and the length of time the Asset
         Sale Offer shall remain open;

                  (b)      the Offer Amount, the purchase price and the Purchase
         Date;

                  (c)      that any Senior Note not tendered or accepted for
         payment shall continue to accrete or accrue interest;

                  (d) that, unless the Company defaults in making such payment,
         any Senior Note accepted for payment pursuant to the Asset Sale Offer
         shall cease to accrete or accrue interest after the Purchase Date;

                  (e) that Holders electing to have a Senior Note purchased
         pursuant to an Asset Sale Offer may only elect to have all of such
         Senior Note purchased and may not elect to have only a portion of such
         Senior Note purchased;

                  (f) that Holders electing to have a Senior Note purchased
         pursuant to any Asset Sale Offer shall be required to surrender the
         Senior Note with the form entitled "Operation of Holder to Elect
         Purchase" on the reverse of the Senior Note completed, or transfer by
         book-entry transfer, to the Company, a depositary, if appointed by the
         Company, or a Paying Agent at the address specified in the notice at
         least three days before the Purchase Date;

                  (g) that Holders shall be entitled to withdraw their election
         if the Company, the depositary or the Paying Agent, as the case may be,
         receives, not later than the expiration of the Offer Period, a
         telegram, telex, facsimile transmission or letter setting forth the
         name of the Holder, the principal amount of the Senior Note the Holder
         delivered for purchases and a statement that such Holder is withdrawing
         his election to have such Senior Note purchased;

                  (h) that, if the aggregate principal amount or Accreted Value,
         as applicable, of Senior Notes surrendered by Holders exceeds the
         amount required to be purchased pursuant to Section 4.10 hereof, the
         Company shall select the Senior Notes to be purchased on a pro rata
         basis (with such adjustments as may be deemed appropriate by the
         Company so that only Senior Notes in denominations of $1,000, or
         integral multiples thereof, shall be purchased); and

                  (i) that Holders whose Senior Notes were purchased only in
         part shall be issued new Senior Notes equal in principal amount to the
         unpurchased portion of the Senior Notes surrendered (or transferred by
         book-entry transfer).

                  On or before the Purchase Date, the Company shall, to the
         extent lawful, accept for payment, on a pro rata basis to the extent
         necessary, the Senior Notes or portions thereof tendered or required to
         be purchased pursuant to the Asset Sale Offer, or, if less than the
         amount so required to be purchased has been tendered, all Senior Notes
         tendered, and shall deliver to the Trustee an Officers' Certificate
         stating that such Senior Notes or portions thereof were accepted for
         payment by the Company in accordance with the terms of Section 4.10
         hereof and this Section 3.09. The Company, the Depository or the Paying
         Agent, as the case may be, shall promptly (but in any case not later
         than five days after the Purchase Date) mail or deliver to each
         tendering Holder an amount equal to the purchase price of the Senior
         Notes tendered by such Holder and accepted by the Company for purchase,
         and the Company shall promptly issue a new Senior Note, and the
         Trustee, upon written request from the Company shall authenticate and
         mail or deliver such new Senior Note to such Holder, in a principal
         amount equal to any unpurchased portion of the Senior Note surrendered.
         Any Senior Note not so accepted shall be promptly mailed or delivered
         by the Company to the Holder thereof. The Company shall publicly
         announce the results of the Asset Offer on the Purchase Date.

                  Other than as specifically provided in this Section 3.09, any
         purchase pursuant to this Section 3.09 shall be made pursuant to the
         provisions of Section 3.01 through 3.06 hereof.

         Section 3.        Dividend and Other Payment Restrictions Affecting
         Subsidiaries. Section 4.08 of the Indenture shall be amended and
         restated as follows:

                  The Company shall not, and shall not permit any of its
         Subsidiaries to, directly or indirectly, create or otherwise cause or
         suffer to exist or become effective any encumbrance or restriction on
         the ability of any Subsidiary to:

         (i)    (a) pay any dividends or make any other distributions to the
                Company or any of its Subsidiaries (1) on its Capital Stock or
                (2) with respect to any other interest or participation in, or
                measured by, its profits, or (b) pay any indebtedness owed to
                the Company or any of its Subsidiaries;

         (ii) make loans or advances to the Company or any of its Subsidiaries;

         (iii)grant liens or grant security interests on its assets in favor of
              the Holders of Senior Notes or guarantee the payment of the Senior
              Notes; or

         (iv) transfer any of its properties or assets to the Company or any of
              its Subsidiaries, except for such encumbrances or restrictions
              existing under or by reason of:

              (a) Existing Indebtedness as in effect on the date of this
              Indenture;

              (b) any Credit Agreement creating or evidencing Indebtedness
              permitted by clause (i) of Section 4.09 and any amendments,
              modifications, restatements, renewals, increases, supplements,
              refundings, replacements or refinancings thereof;

              (c) the Indenture and the Senior Notes;

              (d) applicable law;

              (e) by reason of customary non-assignment provisions in leases
              entered into in the ordinary course of business and consistent
              with past practices;

              (f) purchase money obligations or Vendor Debt for property
              acquired in the ordinary course of business that impose
              restrictions of the nature described in clause (iv) above on the
              property so acquired;

              (g) Indebtedness incurred pursuant to clause (viii) of Section
              4.09; provided that such encumbrance or restriction only relates
              to the Subsidiary or Permitted Joint Venture incurring such
              Indebtedness;

              (h) Refinancing Indebtedness, provided that such encumbrances or
              restrictions are no more restrictive than those contained in the
              documentation governing the Indebtedness being extended,
              refinanced, renewed, replaced, defeased or refunded; and

              (i) the Secured Notes Indenture, the Secured Notes Security
              Documents and the Secured Notes.



         Section 4.  Incurrence of Indebtedness and Issuance of Preferred Stock.
         Section 4.09 of the Indenture shall be amended and restated as follows:

                  The Company shall not, and shall not permit any of its
         Subsidiaries or Joint Ventures to, directly or indirectly, create,
         incur, issue, assume, guaranty or otherwise become directly or
         indirectly liable, contingently or otherwise, with respect to
         (collectively, "incur") any Indebtedness (including, without
         limitation, Acquired Indebtedness) and that the Company will not issue
         any Disqualified Stock and will not permit any of its Subsidiaries or
         Joint Ventures to issue any shares of Preferred Stock; provided that
         the Company may incur Indebtedness (including Acquired Indebtedness) or
         issue shares of Disqualified Stock if the Company's Consolidated
         Leverage Ratio as of the last day of the Company's most recently ended
         fiscal quarter for which internal financial statements are available
         immediately preceding the date on which such Indebtedness is incurred,
         or such Disqualified Stock is issued, as the case may be, would have
         been (a) greater than zero and less than 5.5 to 1.0, if such incurrence
         or issuance is on or prior to March 31, 1999, and (b) greater than zero
         and less than 5.0 to 1.0, if such incurrence or issuance is after March
         31, 1999, determined on a pro forma basis (including pro forma
         application of the net proceeds therefrom) as if such Indebtedness had
         been incurred, or such Disqualified Stock has been issued, as the case
         may be, at the beginning of such fiscal quarter.

                  The foregoing provisions shall not apply to:

   (i)   the incurrence of Indebtedness by the Company, any Subsidiary (other
         than a General Partner Subsidiary) or any Permitted Joint Venture
         pursuant to Credit Agreement(s), provided that the aggregate principal
         amount at maturity of such Credit Agreement(s) at any one time
         outstanding under this clause (i) does not exceed $50.0 million for the
         Company, all of its Subsidiaries (other than a General Partner
         Subsidiary) and all of its Permitted Joint Ventures combined;

   (ii)  the incurrence of Vendor Debt by the Company, any Subsidiary (other
         than a General Partner Subsidiary) or any Permitted Joint Venture,
         provided that the aggregate principal amount at maturity of such Vendor
         Debt does not exceed 80% of the purchase price or cost of the
         construction, acquisition or improvement of the applicable
         Telecommunications Related Assets;

   (iii) Refinancing Indebtedness;

   (iv)  the incurrence of Indebtedness by the Company not to exceed, at any one
         time outstanding, 2.0 times the net cash proceeds received by the
         Company from the issuance and sale of its Capital Stock (other than
         Disqualified Stock) to a Person other than a Subsidiary or a Joint
         Venture of the Company, provided that such Indebtedness (y) does not
         mature prior to the Stated Maturity of the Senior Notes and has a
         Weighted Average Life to Maturity longer than the Senior Notes and (z)
         is subordinated to the Senior Notes;

   (v)   the incurrence by the Company of Indebtedness (in addition to
         Indebtedness permitted by any other clause of this paragraph) in an
         aggregate principal amount at maturity (or accreted value, as
         applicable) at any time outstanding not to exceed $10.0 million;

   (vi)  the incurrence by any Restricted Joint Venture of Non-Recourse Debt,
         provided that if any Non-Recourse Debt of a Restricted Joint Venture
         ceases to be Non-Recourse Debt, such event shall be deemed to
         constitute an incurrence of Indebtedness as of the dates such
         Indebtedness ceases to be Non-Recourse Debt;

   (vii) the guarantee of Indebtedness by a General Partner Subsidiary in
         connection with the incurrence of Indebtedness by the Restricted Joint
         Venture of which such General Partner Subsidiary is a general partner;

   (viii)the incurrence by the Company's Subsidiaries (other than General
         Partner Subsidiaries) and Permitted Joint Ventures of Indebtedness
         (including Acquired Indebtedness) so long as all of the net proceeds of
         such incurrence are used by such Subsidiary or Permitted Joint Venture,
         as the case may be, directly in connection with the design,
         construction, development or acquisition of a Telecommunication Service
         Market; provided that, as of the last day of the Company's most
         recently ended fiscal quarter for which internal financial statements
         are available immediately preceding the date on which such Indebtedness
         is incurred, either: (a)(1) the aggregate principal amount at maturity
         of all Indebtedness outstanding of such Subsidiary or such Permitted
         Joint Venture does not exceed (x) the product of (I) 1.75 times (II)
         the total amount of Invested Equity Capital of the Subsidiary or
         Permitted Joint Venture incurring such Indebtedness minus (y) the
         product of (I) the quotient obtained by dividing (A) the total amount
         of Invested Equity Capital of the Subsidiary or Permitted Joint Venture
         incurring such Indebtedness by (B) the aggregate amount of Invested
         Equity Capital of all of the Company's Subsidiaries and Permitted Joint
         Ventures times (II) the quotient obtained by dividing (A) the aggregate
         principal amount of the then outstanding Secured Notes by (B) 1.75 and
         (2) the aggregate principal amount at maturity of all Non-Qualified
         Debt outstanding of such Subsidiary or such Permitted Joint Venture
         does not exceed (x) the product of (I) 1.50 times (II) the total amount
         of Invested Equity Capital of the Subsidiary or Permitted Joint Venture
         incurring such Non-Qualified Debt minus (y) the product of (I) the
         quotient obtained by dividing (A) the total amount of Invested Equity
         Capital of the Subsidiary or Permitted Joint Venture incurring such
         Non-Qualified Debt by (B) the aggregate amount of Invested Equity
         Capital of all of the Company's Subsidiaries and Permitted Joint
         Ventures times (II) the quotient obtained by dividing (A) the aggregate
         principal amount of the then outstanding Secured Notes by (B) 1.50; or
         (b) the Consolidated Leverage Ratio of such Subsidiary or such
         Permitted Joint Venture would not have been greater than 3.5 to 1.0;
         provided that for purposes of this clause (viii)(b) the product of (I)
         the quotient obtained by dividing (A) the total amount of Invested
         Equity Capital of the Subsidiary or Permitted Joint Venture incurring
         such Indebtedness by (B) the aggregate amount of Invested Equity
         Capital of all of the Company's Subsidiaries and Permitted Joint
         Ventures times (II) the aggregate principal amount of the then
         outstanding Secured Notes shall be added to clause (i) of the
         definition of Consolidated Leverage Ratio solely for purposes of the
         calculation thereof for purposes hereof, in each case, determined on a
         pro forma basis (including pro forma application of the net proceeds
         therefrom) as if such Indebtedness had been incurred at the beginning
         of such fiscal quarter; provided, further, any Indebtedness incurred by
         any Subsidiary of the Company or any Permitted Joint Venture (other
         than Related Networks) pursuant to this clause (viii) shall be
         non-recourse with respect to the Company or any other Subsidiary of the
         Company or any other Joint Venture;

   (ix)  the incurrence by the Company of the Existing Indebtedness; and

   (x)   the incurrence of Indebtedness by the Company with respect to the
         Secured Notes.

                  For purposes of this Section 4.09, in the event that the
         Company proposes to incur Indebtedness pursuant to clause (iv) above,
         the Company shall, simultaneously with the incurrence of such
         Indebtedness, deliver to the Trustee a resolution of the Board of
         Directors set forth in an Officers' Certificate stating that the sale
         or sales of Capital Stock forming the basis for the incurrence of such
         Indebtedness (i) constitutes a long term investment in the Company and
         (ii) has not been made for the purpose of circumventing this Section
         4.09. In the event that the Company rescinds, reverses or unwinds such
         sale of Capital Stock or otherwise returns or refunds all or any
         portion of the net cash proceeds of such sale of Capital Stock (whether
         by dividend, distribution or otherwise) within 270 days of the date of
         the incurrence of such Indebtedness, such Indebtedness will be deemed
         to be incurred on the date of, and immediately after giving effect to,
         such rescission, reversal, unwinding, return or refund.

                  For purposes of this Section 4.09, in the event that a
         Restricted Joint Venture becomes a Permitted Joint Venture or otherwise
         ceases to be a Restricted Joint Venture, all of the then outstanding
         Indebtedness of such entity shall be deemed to have been incurred as of
         the date that such Restricted Joint Venture becomes a Permitted Joint
         Venture or otherwise ceases to be a Restricted Joint Venture.



     Section 5.   Asset Sales.  Section 4.10 of the Indenture shall be amended
         and restated as follows:

                  The Company shall not, and shall not permit any Subsidiary to,
         directly or indirectly, whether in a single transaction or a series of
         related transactions occurring within any twelve-month period, make any
         Asset Sale, unless

    (i)  the Company or the Subsidiary, as the case may be, receives
         consideration at the time of such Asset Sale at least equal to the fair
         market value (as determined in good faith by the Board of Directors)
         for the shares or assets sold or otherwise disposed of; and

    (ii) at least 90% of such consideration consists of cash,

         provided that

  (A)    an amount equal to the fair market value (as determined in good faith
         by the Board of Directors) of:

    (1)  Telecommunications Related Assets received by the Company or any
         Subsidiary from the transferee that will be used by the Company or such
         Subsidiary in the operation of a Telecommunications Business;

    (2)  the Voting Stock of any Person engaged in a Telecommunications Business
         received by the Company or any Subsidiary; provided that on the date
         such Voting Stock is received, such Investment in Voting Stock
         constitutes a Permitted Joint Venture Investment; or

         (3) the publicly tradable Voting Stock of any person engaged in the
         Telecommunications Business received by the Company or any Subsidiary
         as consideration for a sale of an Equity Interest in any Restricted
         Joint Venture, shall, for the purposes of this Section 4.10, be deemed
         to be cash which was applied in accordance with the first sentence of
         the penultimate paragraph of this Section 4.10; and

     (B) in the event that any of Hyperion Telecommunications of Pennsylvania,
         Inc., Hyperion Telecommunications of Tennessee, Inc. or Hyperion
         Telecommunications of New York, Inc. sell their respective partnership
         interests in the partnerships to which each is a partner to the
         respective partnerships in the manner specified by the applicable
         partnership agreement, (1) the principal amount at maturity of any
         seller note issued to the Company or any of its Wholly Owned
         Subsidiaries shall be deemed to be cash for purposes of this Section
         4.10 and (2) the payments of principal pursuant to such seller note
         shall be deemed to be Net Cash Proceeds (for purposes of the
         penultimate paragraph of this Section 4.10) as and when such payments
         are received.

                  For purposes of this Section 4.10, the first $1.0 million of
         Net Cash Proceeds received from Asset Sales (other than Asset Sales of
         Stock Collateral) in any fiscal year shall not be subject to the
         restrictions contained in this section.

                  In determining the fair market value with respect to any Asset
         Sale or series of related Asset Sales involving aggregate consideration
         in excess of $10.0 million, the Board of Directors of the Company must
         obtain an opinion as to the fairness to the Holders of Senior Notes of
         such Asset Sales from a financial point of view issued by a nationally
         recognized investment banking firm with total assets in excess of $1.0
         billion; provided that no such opinion shall be required if such Asset
         Sale is in accordance with the terms of any Local Partnership Agreement
         to which the Company or any of its Subsidiaries is a party on the date
         hereof.

                  The Company may apply the Net Cash Proceeds from any Asset
         Sale to an investment in Telecommunications Related Assets in a
         Telecommunications Service Market within 180 days after such Asset
         Sale; provided that if the Company determines to make such investment
         in a New Telecommunications Service Market, the Company shall be deemed
         to have complied with the first clause of this sentence if, the Company
         (y) within 180 days of such Asset Sale, delivers to the Trustee a
         resolution adopted by a majority of the Board of Directors set forth in
         an Officer's Certificate certifying that the Company intends to utilize
         the Net Cash Proceeds of such Asset Sale to invest in a specific new
         Telecommunications Service Market and (z) completes such investment
         within 360 days of such Asset Sale. The Company shall be deemed to have
         completed its investment for purposes of the preceding clause (z), so
         long as the Company has (i) a business plan that sets forth the
         Company's investment plans for the applicable Telecommunications
         Service Market and (ii) issued all material purchase orders to the
         appropriate parties that are necessary to complete such business plan.
         Any Net Cash Proceeds from an Asset Sale that are not invested as
         provided in the two preceding sentences shall constitute Excess
         Proceeds. When the aggregate amount of Excess Proceeds exceeds $2.5
         million, the Company shall commence to purchase (an "Asset Sale Offer")
         the maximum principal amount of Senior Notes and Senior Secured Notes
         (on a pro rata basis based upon the relative aggregate principal amount
         of Senior Notes (or, prior to April 15, 2001, the aggregate Accreted
         Value of Senior Notes) and Secured Notes then outstanding) that may be
         purchased out of the Excess Proceeds, at an offer price in cash equal
         to 100% of aggregate principal amount thereof, plus accrued and unpaid
         interest to the date of repurchase (or, in the case of repurchases of
         Senior Notes prior to April 15, 2001, at a purchase price equal to 100%
         of the Accreted Value thereof as of the date of repurchase) in
         accordance with the procedures set forth in this Indenture, provided,
         that, in the event of an Asset Sale Offer as a result (in whole or in
         part) of an Asset Sale of Stock Collateral, the Company shall, purchase
         (i) first, all Secured Notes tendered pursuant to such Asset Sale Offer
         in an aggregate principal amount equal to the portion of such Excess
         Proceeds resulting from such Asset Sale of Stock Collateral and (ii)
         second, all Secured Notes and Senior Notes on a pro rata basis (in the
         same manner as described above) in an aggregate principal amount (or,
         with respect to Senior Notes prior to April 15, 2001, an aggregate
         Accreted Value) equal to the Excess Proceeds not used to purchase
         Secured Notes pursuant to clause (i) of this proviso. To the extent
         that the aggregate principal amount at maturity thereof, plus accrued
         and unpaid interest to the date of repurchase (or, in the case of
         repurchases of Senior Notes prior to April 15, 2001, the Accreted Value
         thereof as of the date of repurchase) of the Senior Notes and the
         Secured Notes tendered pursuant to an Asset Sale Offer is less than the
         Excess Proceeds, the Company may use such remaining Excess Proceeds for
         any purpose not prohibited by this Indenture. If the aggregate
         principal amount at maturity thereof, plus accrued and unpaid interest
         to the date of repurchase (or, in the case of repurchases of Senior
         Notes prior to April 15, 2001, the Accreted Value thereof as of the
         date of repurchase) of Senior Notes and of Secured Notes surrendered by
         their respective holders exceeds the amount of Excess Proceeds, the
         Trustee shall select the Senior Notes and Secured Notes to be purchased
         on a pro rata basis. Upon completion of such offers, the amount of
         Excess Proceeds shall be reset at zero. Pending application of the Net
         Cash Proceeds as set forth above from Asset Sales, all such Net Cash
         Proceeds shall be placed in escrow for the benefit of the Holders of
         Senior Notes and Secured Notes.

                  Notwithstanding the foregoing, the Company shall not, and
         shall not permit any Subsidiary to, directly or indirectly, make any
         Asset Sale of any Equity Interests of any Subsidiary (at least 80% of
         the voting power of the Capital Stock of which is owned by the Company)
         except pursuant to an Asset Sale of all of the Equity Interests of such
         Subsidiary; provided that any sale of any Equity Interest of any such
         Subsidiary to a Strategic Investor shall be deemed not be an Asset Sale
         for purposes of this Section 4.10, so long as such sale of such Equity
         Interests does not result in such Subsidiary ceasing to be a Subsidiary
         of the Company.


         Section 6. Confirmation of Indenture. Except as supplemented by this
Second Supplemental Indenture, the Indenture is hereby ratified and confirmed in
all respects and made applicable in all respects to the Senior Notes and the
holders thereof. The Indenture and this Second Supplemental Indenture shall be
read and construed as one and the same instrument.






         IN WITNESS WHEREOF, the parties hereto have caused this Second
Supplemental Indenture to be duly executed, and attested, all as of the date and
first year above written.

ATTEST:                                     HYPERION TELECOMMUNICATIONS, INC.



/s/ Edward Babcock, Jr.                     By: /s/ Daniel R. Milliard
- -----------------------                     ---------------------------

ATTEST:                                     BANK OF MONTREAL TRUST COMPANY,
                                             as Trustee


______________________________               By: /s/ Therese Gaballah
                                             --------------------------