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<div><span class="kw">theorem </span><a NAME="T65"><span class="comment"><font color="firebrick">:: MUSIC_S1:65</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">MS1</font>, <font color="Olive" title="b2">MS2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="music_s1.html#V2" title="MUSIC_S1:attr.2">satisfying_Real</a>   <a href="music_s1.html#V3" title="MUSIC_S1:attr.3">satisfying_equiv</a>   <a href="music_s1.html#V4" title="MUSIC_S1:attr.4">satisfying_interval</a>   <a href="music_s1.html#V6" title="MUSIC_S1:attr.6">satisfying_commutativity</a>   <a href="music_s1.html#V7" title="MUSIC_S1:attr.7">satisfying_Nat</a>   <a href="music_s1.html#V8" title="MUSIC_S1:attr.8">satisfying_harmonic_closed</a>   <a href="music_s1.html#V11" title="MUSIC_S1:attr.11">satisfying_fifth_constructible</a>   <a href="music_s1.html#V12" title="MUSIC_S1:attr.12">classical_fifth</a>   <a href="music_s1.html#V13" title="MUSIC_S1:attr.13">satisfying_octave_constructible</a>   <a href="music_s1.html#V14" title="MUSIC_S1:attr.14">classical_octave</a>   <a href="music_s1.html#V15" title="MUSIC_S1:attr.15">satisfying_octave_descendent_constructible</a>   <a href="music_s1.html#L1" title="MUSIC_S1:struct.1">MusicStruct</a> <br/>  for <font color="Olive" title="b3">frequency1</font>, <font color="Olive" title="b4">fondamentale1</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">MS1</font><br/>  for <font color="Olive" title="b5">frequency2</font>, <font color="Olive" title="b6">fondamentale2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">MS2</font>  st <font color="Olive" title="b3">frequency1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">frequency2</font> &amp; <font color="Olive" title="b4">fondamentale1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">fondamentale2</font> holds <br/> <a href="music_s1.html#K52" title="MUSIC_S1:func.52">Fifth_reduct</a> (<font color="Olive" title="b1">MS1</font>,<font color="Olive" title="b4">fondamentale1</font>,<font color="Olive" title="b3">frequency1</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="music_s1.html#K52" title="MUSIC_S1:func.52">Fifth_reduct</a> (<font color="Olive" title="b2">MS2</font>,<font color="Olive" title="b6">fondamentale2</font>,<font color="Olive" title="b5">frequency2</font>)</div></div>
