181edo and stretched hemififths: Difference between revisions

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== Normal Hemififths ==
== Normal Hemififths ==


181edo supports normal Hemififths (MOS 3L 4s) with the mode 31 22 31 22 31 22 22
[[181edo]] supports normal [[Hemififths]] ([[3L 4s|MOS 3L 4s]]) with the mode 31 22 31 22 31 22 22
{| class="wikitable"
{| class="wikitable"
|+
|+
Hemififths
!#\181
!#\181
!Cents
!Cents
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== Stretched Hemififths ==
== Stretched Hemififths ==


This mode can be improved in 181edo by stretching some "s" of the mode with 1 more step on the fifth, and 1 more step on the octave: 31 22 31 23 31 22 23
This mode can be improved in 181edo by adding 1 more step on the fifth, and 1 more step on the octave: 31 22 31 23 31 22 23


With this stretched mode, more JI ratios are approximated thoughout the octaves.
With this stretched mode, various simple [[Just intonation|Just Intonation]] ratios are approximated thoughout the octaves.


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|15/8
|15/8
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|8
|'''8'''
|53.039
|'''53.039'''
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<pre>
! 181edo_stretched-hemififths.scl
!
181edo stretched hemififths
7
!
205.524862
351.381215
556.906077
709.392265
914.917127
1060.773481
1213.259669
</pre>
== See Also ==
* [[93edo and stretched hemififths]]
[[Category:181edo]]
[[Category:Hemififths]]