181edo and stretched hemififths: Difference between revisions

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|183
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Revision as of 14:19, 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
2 13.260 2/1
33 218.785 9/8, 8/7
55 364.641 16/13
86 570.166 18/13
109 722.652 3/2
140 928.177 12/7
162 1074.033 13/7
4 26.519 2/1
35 232.044
57 377.901
88 583.425
111 735.912
142 941.436
164 1087.293
6 39.779
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