14edf

← 13edf

14edf

15edf →

Prime factorization	2 × 7
Step size	50.1396 ¢
Octave	24\14edf (1203.35 ¢) (→ 12\7edf)
Twelfth	38\14edf (1905.31 ¢) (→ 19\7edf)
Consistency limit	6
Distinct consistency limit	4

14 equal divisions of the perfect fifth (abbreviated 14edf or 14ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 14 equal parts of about 50.1 ¢ each. Each step represents a frequency ratio of (3/2)^1/14, or the 14th root of 3/2.

14EDF is related to 24edo, but with the 3/2 rather than the 2/1 being just, which stretches the octave by 3.3514 cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.

Lookalikes: 24edo, 38edt

Harmonics

Approximation of prime harmonics in 14edf

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+3.4	+3.4	+21.5	-9.5	+10.3	+21.9	+8.7	+16.7	-13.2	-13.4	+21.6
	Relative (%)	+6.7	+6.7	+42.9	-18.9	+20.5	+43.7	+17.4	+33.4	-26.3	-26.7	+43.0
Steps (reduced)		24 (10)	38 (10)	56 (0)	67 (11)	83 (13)	89 (5)	98 (0)	102 (4)	108 (10)	116 (4)	119 (7)

Approximation of prime harmonics in 14edf

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+16.1	-11.2	+6.6	+3.1	-4.4	+10.5	+2.9	-9.1	-9.2	-7.1	+6.5
	Relative (%)	+32.1	-22.3	+13.2	+6.1	-8.7	+21.0	+5.9	-18.1	-18.3	-14.2	+13.1
Steps (reduced)		125 (13)	128 (2)	130 (4)	133 (7)	137 (11)	141 (1)	142 (2)	145 (5)	147 (7)	148 (8)	151 (11)

Intervals

Intervals of 14edf

Degree	Cents
0	0
1	50.1396
2	100.2793
3	150.4189
4	200.5586
5	250.6982
6	300.8379
7	350.9775
8	401.1171
9	451.2568
10	501.3964
11	551.536
12	601.6757
13	651.8154
14	701.955
15	752.0946
16	802.2343
17	852.3739
18	902.5136
19	952.6532
20	1002.7929
21	1052.9235
22	1103.0721
23	1153.2118
24	1203.3514
25	1253.4911
26	1303.6307
27	1353.7704
28	1403.91

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