9ed10: Difference between revisions

Revision as of 11:55, 20 January 2019

9ED10 is the equal division of the 10th harmonic into nine parts of 442.9237 cents each. It is related to the sensi temperament, which tempers out 91/90, 126/125, and 169/168 in the 2.3.5.7.13 subgroup, which is supported by 19edo, 27edo, 46edo, and 73edo.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	442.9237	9/7, 84/65, 13/10
2	885.8475	5/3
3	1328.7712	15/7, 28/13, 54/25, 13/6
4	1771.6950	(11/4), 36/13, 25/9, 39/14
5	2214.6187	140/39, 18/5, 65/18, (40/11)
6	2657.5425	60/13, 65/14, 14/3
7	3100.4662	6/1
8	3543.3900	100/13, 54/7, 70/9
9	3986.3137	exact 10/1	just major third plus three octaves

@@ Line 1: / Line 1: @@
-'''9ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 9 parts of 442.9237 [[cent|cents]] each. It is related to the [[Sensipent family|sensis temperament]], which tempers out 91/90, 126/125, and 169/168 in the 2.3.5.7.13 subgroup, which is supported by [[19edo]], [[27edo]], [[46edo]], and [[73edo]].
+'''9ED10''' is the [[Ed10|equal division of the 10th harmonic]] into nine parts of 442.9237 [[cent|cents]] each. It is related to the [[Sensipent family|sensi temperament]], which tempers out 91/90, 126/125, and 169/168 in the 2.3.5.7.13 subgroup, which is supported by [[19edo]], [[27edo]], [[46edo]], and [[73edo]].
 {| class="wikitable"
@@ Line 15: / Line 15: @@
 | | 1
 | | 442.9237
-| | [[9/7]], 84/65
+| | [[9/7]], 84/65, [[13/10]]
 | |
 |-
@@ Line 30: / Line 30: @@
 | | 4
 | | 1771.6950
-| | [[18/13|36/13]], [[25/18|25/9]], 39/14
+| | ([[11/4]]), [[18/13|36/13]], [[25/18|25/9]], 39/14
 | |
 |-
 | | 5
 | | 2214.6187
-| | 140/39, [[9/5|18/5]], 65/18
+| | 140/39, [[9/5|18/5]], 65/18, ([[20/11|40/11]])
 | |
 |-
@@ Line 50: / Line 50: @@
 | | 8
 | | 3543.3900
-| | [[27/14|54/7]], 70/9
+| | 100/13, [[27/14|54/7]], 70/9
 | |
 |-