13edf: Difference between revisions

Revision as of 23:45, 26 December 2021

13EDF is the equal division of the just perfect fifth into 13 parts of 53.9965 cents each, corresponding to 22.2236 edo. It is nearly identical to every ninth step of 200edo.

It is the smallest representation of 25/24 you can get from an equal division of the fifth.

degree	cents value	corresponding JI intervals	comments
0		exact 1/1
1	53.9965	33/32	pseudo-25/24
2	107.9931	17/16, 117/110, 16/15
3	161.9896	11/10
4	215.9862	17/15
5	269.9827	7/6
6	323.9792	77/64	pseudo-6/5
7	377.9758	56/45	pseudo-5/4
8	431.9723	9/7
9	485.9688	45/34	pseudo-4/3
10	539.9654	15/11
11	593.9619	55/39, 24/17
12	647.9585	16/11
13	701.9550	exact 3/2	just perfect fifth
14	755.9515	99/64
15	809.9481	51/32, 8/5
16	863.9446	33/20
17	917.9412	17/10
18	971.9377	7/4
19	1025.9342	29/16	pseudo-9/5
20	1079.9308	28/15	pseudo-15/8
21	1133.9273	52/27, 27/14
22	1187.9238	135/68	pseudo-octave
23	1241.9204	45/22
24	1295.9169	19/9, 36/17
25	1349.9135	24/11
26	1403.9100	exact 9/4	pythagorean major ninth

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 '''13EDF''' is the [[EDF|equal division of the just perfect fifth]] into 13 parts of 53.9965 [[cent|cents]] each, corresponding to 22.2236 [[edo]]. It is nearly identical to every ninth step of [[200edo]].
-It is the smallest representation of [[25/24]] you can get from an equal step scale.
+It is the smallest representation of [[25/24]] you can get from an equal division of the fifth.
 ==Intervals==