23ed7: Difference between revisions

Revision as of 12:46, 30 July 2021

Division of the 7th harmonic into 23 equal parts (23ED7) is related to the Bohlen-Pierce scale, but with the 7/1 rather than the 3/1 being just. The step size is about 146.4707 cents, corresponding to 8.1928 EDO. It is almost identical to POTE generator for 7-limit bohpier temperament.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	146.4707	49/45
2	292.9414	13/11
3	439.4121	9/7
4	585.8828	7/5
5	732.3535	49/32
6	878.8241	5/3
7	1025.2948	9/5
8	1171.7655	63/32
9	1318.2362	15/7
10	1464.7069	7/3
11	1611.1776	28/11
12	1757.6483	11/4
13	1904.1190	3/1
14	2050.5897	49/15
15	2197.0604	32/9
16	2343.5311	35/9
17	2490.0018	21/5
18	2636.4724	32/7
19	2782.9431	5/1
20	2929.4138	49/9
21	3075.8845	77/13
22	3222.3552	45/7
23	3368.8259	exact 7/1	harmonic seventh plus two octaves

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-'''[[Ed7|Division of the 7th harmonic]] into 23 equal parts''' (23ed7) is related to the [[13edt|Bohlen-Pierce scale]], but with the 7/1 rather than the 3/1 being just. The step size is about 146.4707 cents, corresponding to 8.1928 [[edo]].
+'''[[Ed7|Division of the 7th harmonic]] into 23 equal parts''' (23ED7) is related to the [[13edt|Bohlen-Pierce scale]], but with the 7/1 rather than the 3/1 being just. The step size is about 146.4707 cents, corresponding to 8.1928 [[EDO]]. It is almost identical to [[POTE generator]] for 7-limit [[bohpier|bohpier temperament]].
 {| class="wikitable"
@@ Line 128: / Line 128: @@
 | | [[7/4|harmonic seventh]] plus two octaves
 |}
+== See also ==
+* [[13edt|13ED3]]: relative ED3 (Bohlen-Pierce scale)
+* [[19ed5|19ED5]]: relative ED5
 [[Category:Ed7]]
 [[Category:Edonoi]]
+[[Category:Bohlen-Pierce]]
+[[Category:Bohpier]]