181edo and stretched hemififths: Difference between revisions

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This mode can be improved in 181edo by stretching some "s" of the mode with 1 step of 181edo: 31 22 31 23 31 22 23
This mode can be improved in 181edo by stretching some "s" of the mode with 1 step of 181edo: 31 22 31 23 31 22 23


With this stretched mode, more JI ratios are approximated
With this stretched mode, more JI ratios are approximated thoughout the octaves


{| class="wikitable"
{| class="wikitable"
Line 106: Line 106:
|26.519
|26.519
|2/1
|2/1
|-
|
|232.044
|
|-
|
|377.901
|
|-
|
|583.425
|
|-
|
|735.912
|
|-
|
|941.436
|
|-
|
|1087.293
|
|-
|
|39.779
|
|}
|}

Revision as of 14:13, 10 March 2023

Normal Hemififths

181edo supports normal Hemififths (MOS 3L 4s) with the mode 31 22 31 22 31 22 22

#\181 Cents Approximated Ratios
31 205.525 9/8
53 351.381 11/9
84 556.906 11/8
106 702.762 3/2
137 908.287 22/13
159 1054.144 11/6
181 1200.000 2/1


Stretched Hemififths

This mode can be improved in 181edo by stretching some "s" of the mode with 1 step of 181edo: 31 22 31 23 31 22 23

With this stretched mode, more JI ratios are approximated thoughout the octaves

Stretched Hemififths (octave-reduced )
#\181 Cents Approximated Ratios
31 205.525 9/8
53 351.381 11/9
84 556.906 11/8
107 709.392 3/2
138 914.917 22/13
160 1060.773 24/13
183 13.260 2/1
214 218.785 9/8, 8/7
236 364.641 16/13
267 570.166 18/13
290 722.652 3/2
321 928.177 12/7
343 1074.033 13/7
366 26.519 2/1
232.044
377.901
583.425
735.912
941.436
1087.293
39.779
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