19ed7: Difference between revisions

Revision as of 11:04, 4 January 2019

Division of the 7th harmonic into 19 equal parts (19ed7) is related to the 11-limit wollemia temperament, which is a cluster temperament with seven clusters of notes in an octave. The step size is about 177.3066 cents, corresponding to 6.7679 edo.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	177.3066	10/9
2	354.6133	11/9, 60/49, 49/40, 27/22
3	531.9199	49/36, 15/11
4	709.2265	3/2
5	886.5331	5/3
6	1063.8398	13/7
7	1241.1464	49/24, 45/22
8	1418.4530	25/11, 91/40
9	1595.7596	98/39
10	1773.0663	39/14
11	1950.3729	40/13, 77/25
12	2127.6795	24/7
13	2304.9861	49/13
14	2482.2928	21/5
15	2659.5994	14/3
16	2836.9060	77/15, 36/7
17	3014.2127	154/27, 40/7, 63/11
18	3191.5193	63/10
19	3368.8259	exact 7/1	harmonic seventh plus two octaves

@@ Line 1: / Line 1: @@
-'''[[Ed7|Division of the 7th harmonic]] into 19 equal parts''' (19ed7) is related to the 11-limit [[Tetracot family|wollemia temperament]], which is a [[cluster temperament]] with 7 clusters of notes in an octave. The step size is about 177.3066 cents, corresponding to 6.7679 [[edo]].
+'''[[Ed7|Division of the 7th harmonic]] into 19 equal parts''' (19ed7) is related to the 11-limit [[Tetracot family|wollemia temperament]], which is a [[cluster temperament]] with seven clusters of notes in an octave. The step size is about 177.3066 cents, corresponding to 6.7679 [[edo]].
 {| class="wikitable"
@@ Line 20: / Line 20: @@
 | | 2
 | | 354.6133
-| | [[11/9]], 60/49, 49/40, [[27/22]]
+| | [[11/9]], [[60/49]], [[49/40]], [[27/22]]
 | |
 |-
@@ Line 80: / Line 80: @@
 | | 14
 | | 2482.2928
-| | [[21/5]]
+| | [[21/20|21/5]]
 | |
 |-