11ed5: Difference between revisions

Revision as of 13:02, 17 January 2019

11ED5 is the equal division of the 5th harmonic into 11 parts of 252.3012 cents each. It is related to the godzilla temperament, which tempers out 49/48, 81/80, and 91/90 in the 2.3.5.7.13 subgroup.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	253.3012	8/7, 15/13, 7/6
2	506.6025	4/3
3	759.9037	14/9
4	1013.2050	9/5
5	1266.5062	27/13, 25/12, 21/10
6	1519.8075	12/5
7	1773.1087	14/5
8	2026.4100	16/5, 13/4
9	2279.7112	15/4
10	2533.0125	30/7, 13/3, 35/8
11	2786.3137	exact 5/1	just major third plus two octaves

@@ Line 1: / Line 1: @@
-'''11ED5''' is the [[Ed5|equal division of the 5th harmonic]] into 11 parts of 252.3012 [[cent|cents]] each. It is compared to every fourth step of [[19edo]], but with the 5/1 rather than 2/1 being just.
+'''11ED5''' is the [[Ed5|equal division of the 5th harmonic]] into 11 parts of 252.3012 [[cent|cents]] each. It is related to the [[Meantone family|godzilla temperament]], which tempers out 49/48, 81/80, and 91/90 in the 2.3.5.7.13 subgroup.
 {| class="wikitable"
@@ Line 15: / Line 15: @@
 | | 1
 | | 253.3012
-| | [[8/7]], [[7/6]]
+| | [[8/7]], [[15/13]], [[7/6]]
 | |
 |-
@@ Line 35: / Line 35: @@
 | | 5
 | | 1266.5062
-| | [[25/24|25/12]], [[21/20|21/10]]
+| | [[27/26|27/13]], [[25/24|25/12]], [[21/20|21/10]]
 | |
 |-
@@ Line 50: / Line 50: @@
 | | 8
 | | 2026.4100
-| | [[16/5]], 45/14
+| | [[16/5]], [[13/4]]
 | |
 |-
@@ Line 60: / Line 60: @@
 | | 10
 | | 2533.0125
-| | [[15/14|30/7]], [[35/32|35/8]]
+| | [[15/14|30/7]], [[13/3]], [[35/32|35/8]]
 | |
 |-