6edf: Difference between revisions

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'''6edf''' is the '''6-part equal division of the fifth''' ([[3/2]]) AKA "6th root of 3/2".
'''6EDF''' is the [[EDF|equal division of the just perfect fifth]] into six parts of 116.9925 [[cent|cents]] each, corresponding to 10.2571 [[edo]]. It is related to the [[Gamelismic clan|miracle temperament]], which tempers out 225/224 and 1029/1024 in the 7-limit.


The single step of 6-edf is 116.9925 cents. This is very close to the size of the [[Regular_Temperaments#miracle|miracle]] generator, and thus this scale is close to the "nonoctave miracle" scale...
__TOC__
== Intervals ==
== Intervals ==



Revision as of 02:52, 11 February 2019

6EDF is the equal division of the just perfect fifth into six parts of 116.9925 cents each, corresponding to 10.2571 edo. It is related to the miracle temperament, which tempers out 225/224 and 1029/1024 in the 7-limit.

Intervals

degrees cents ~ cents octave-reduced
0 0 (perfect unison, 1:1)
1 117
2 234
3 351
4 468
5 585
6 702 (just perfect fifth, 3:2)
7 819
8 936
9 1053
10 1170
11 1287 ~ 87
12 1404 ~ 204 (just major whole tone/ninth, 9:4)
13 1521 ~ 321
14 1638 ~ 438
15 1755 ~ 555
16 1872 ~ 672
17 1988 ~ 788
18 2106 ~ 906 (Pythagorean major sixth, 27:8)
19 2223 ~ 1023
20 2340 ~ 1140
21 2457 ~ 57
22 2574 ~ 174
23 2691 ~ 291
24 2808 ~ 408 (Pythagorean major third, 81:16)

Compositions