12edf: Difference between revisions

Revision as of 21:03, 8 March 2019

12EDF is the equal division of the just perfect fifth into 12 parts of 58.4963 cents each, corresponding to 20.5141 edo (similar to every second step of 41edo). It is related to the dodecacot temperament, which tempers out 3087/3125 and 10976/10935 in the 7-limit.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	58.4963	91/88, 88/85
2	116.9925	15/14
3	175.4888	21/19
4	233.9850	8/7
5	292.4813	45/38
6	350.9775	11/9, 27/22
7	409.4738	19/15
8	467.9700	21/16
9	526.4663	19/14
10	584.9625	7/5
11	643.4588	13/9
12	701.9550	exact 3/2	just perfect fifth
13	760.45125	273/176, 132/85
14	818.9475	8/5
15	877.44375	63/38
16	935.94	12/7
17	994.43625	135/76
18	1052.9325	11/6, 81/44
19	1111.42875	19/10
20	1169.925	63/32
21	1228.42125	57/28
22	1286.9175	21/10
23	1345.41375	13/6
24	1403.91	exact 9/4

@@ Line 66: / Line 66: @@
 | | 11
 | | 643.4588
-| |
+| |13/9
 | |
 |-
@@ Line 73: / Line 73: @@
 | | '''exact [[3/2]]'''
 | | just perfect fifth
+|-
+|13
+|760.45125
+|273/176, 132/85
+|
+|-
+|14
+|818.9475
+|8/5
+|
+|-
+|15
+|877.44375
+|63/38
+|
+|-
+|16
+|935.94
+|12/7
+|
+|-
+|17
+|994.43625
+|135/76
+|
+|-
+|18
+|1052.9325
+|11/6, 81/44
+|
+|-
+|19
+|1111.42875
+|19/10
+|
+|-
+|20
+|1169.925
+|63/32
+|
+|-
+|21
+|1228.42125
+|57/28
+|
+|-
+|22
+|1286.9175
+|21/10
+|
+|-
+|23
+|1345.41375
+|13/6
+|
+|-
+|24
+|1403.91
+|'''exact''' 9/4
+|
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]