16edf: Difference between revisions

Revision as of 18:36, 5 October 2022

Prime factorization

2⁴

Step size

43.8722 ¢

Octave

27\16edf (1184.55 ¢)

Twelfth

43\16edf (1886.5 ¢)

Consistency limit

3

Distinct consistency limit

3

16EDF is the equal division of the just perfect fifth into 16 parts of 43.8722 cents each, corresponding to 27.3522 edo (similar to every third step of 82edo).

Lookalikes: 27edo, 43edt

degree	cents value	corresponding JI intervals	comments
0	0.0000	1/1
1	43.8722	40/39, 39/38
2	87.7444	20/19
3	131.6166	55/51, (27/25)
4	175.4888	(21/19)
5	219.3609
6	263.2331	(7/6)
7	307.1053
8	350.9775	60/49, 49/40
9	394.8497	(44/35)
10	438.7219	(9/7)
11	482.5941
12	526.4663	(19/14)
13	570.3384	(25/18), 153/110
14	614.2106	(10/7)
15	658.0828	19/13
16	701.9550	3/2 (exact)	just perfect fifth
17	745.8272	20/13
18	789.6994	30/19
19	833.5716	55/34
20	877.4438
21	921.3159
22	965.1881	7/4
23	1009.0603
24	1052.9325	90/49, (11/6)
25	1096.8047	(66/35)
26	1140.6769
27	1184.5491
28	1228.4213	128/63
29	1272.2934	25/12
30	1316.1656	15/7
31	1360.0378	57/26
32	1403.9100	9/4 (exact)	pythagorean ninth

Revision as of 16:55, 31 May 2021 view source Xenwolf (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 8,705 edits m →Intervals: remove trivial truth ← Older edit		Revision as of 18:36, 5 October 2022 view source Plumtree (talk \| contribs) autopatrolled, emailconfirmed 1,976 edits m Infobox ET added Newer edit →
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			{{Infobox ET}}
	'''16EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 16 parts of 43.8722 [[cent\|cents]] each, corresponding to 27.3522 [[edo]] (similar to every third step of [[82edo]]).		'''16EDF''' is the [[EDF\|equal division of the just perfect fifth]] into 16 parts of 43.8722 [[cent\|cents]] each, corresponding to 27.3522 [[edo]] (similar to every third step of [[82edo]]).