User:MisterShafXen/33ed6

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33ed6

34ed6 →

Prime factorization	3 × 11
Step size	93.9986 ¢
Octave	13\33ed6 (1221.98 ¢)
Twelfth	20\33ed6 (1879.97 ¢)
Consistency limit	3
Distinct consistency limit	3

33 equal divisions of the 6th harmonic (abbreviated 33ed6) is a nonoctave tuning system that divides the interval of 6/1 into 33 equal parts of about 94 ¢ each. Each step represents a frequency ratio of 6^1/33, or the 33rd root of 6.

Intervals

Steps	Cents	Approximate ratios	Note names (4\51)
0	0	1/1	C
1	94	18/17, 19/18	^Db
2	188	19/17, 28/25	vD
3	282	13/11	Eb
4	376	26/21	^D#
5	470	17/13	vF
6	564	18/13	Gb
7	658	19/13, 22/15	^F#
8	752	17/11	vAb
9	846	18/11	G#
10	940	12/7, 19/11	^A
11	1034		vA#
12	1128	21/11, 23/12	B
13	1222		^C
14	1316	15/7	vC#
15	1410		D
16	1504		^Eb
17	1598		vE
18	1692		F
19	1786	14/5	^Gb
20	1880		vG
21	1974	22/7, 25/8	Ab
22	2068	23/7	^G#
23	2162	7/2	vBb
24	2256	11/3	A#
25	2350		^B
26	2444		vDb
27	2538	13/3	C#
28	2632		^D
29	2726		vD#
30	2820		E
31	2914		^F
32	3008	17/3	vF#
33	3102	6/1	G