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 | ||
| Line 14: | Line 15: | ||
|53 | |53 | ||
|351.381 | |351.381 | ||
|11/9 | |11/9, 16/13 | ||
|- | |- | ||
|84 | |84 | ||
|556.906 | |556.906 | ||
| | |11/8, 18/13 | ||
|- | |- | ||
|106 | |106 | ||
|702.762 | |702.762 | ||
| | |3/2 | ||
|- | |- | ||
|137 | |137 | ||
| Line 32: | Line 33: | ||
|11/6 | |11/6 | ||
|- | |- | ||
|181 | |'''181''' | ||
|1200.000 | |'''1200.000''' | ||
|'''2/1''' | |'''2/1''' | ||
|} | |} | ||
== Stretched Hemififths == | == Stretched Hemififths == | ||
This mode can be improved in 181edo by | 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, | With this stretched mode, various simple [[Just intonation|Just Intonation]] ratios are approximated thoughout the octaves. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 75: | Line 75: | ||
|24/13 | |24/13 | ||
|- | |- | ||
|2 | |'''2''' | ||
|13.260 | |'''13.260''' | ||
|2/1 | |'''2/1''' | ||
|- | |- | ||
|33 | |33 | ||
| Line 93: | Line 93: | ||
|109 | |109 | ||
|722.652 | |722.652 | ||
| | | | ||
|- | |- | ||
|140 | |140 | ||
| Line 103: | Line 103: | ||
|13/7 | |13/7 | ||
|- | |- | ||
|4 | |'''4''' | ||
|26.519 | |'''26.519''' | ||
| | | | ||
|- | |- | ||
|35 | |35 | ||
| Line 131: | Line 131: | ||
|15/8 | |15/8 | ||
|- | |- | ||
|6 | |'''6''' | ||
|39.779 | |'''39.779''' | ||
| | | | ||
|- | |- | ||
|37 | |37 | ||
| Line 159: | Line 159: | ||
|15/8 | |15/8 | ||
|- | |- | ||
|8 | |'''8''' | ||
|53.039 | |'''53.039''' | ||
| | | | ||
|} | |} | ||
<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]] | |||