29edf

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29edf

30edf →

Prime factorization	29 (prime)
Step size	24.2053 ¢
Octave	50\29edf (1210.27 ¢)
Twelfth	79\29edf (1912.22 ¢)
Consistency limit	3
Distinct consistency limit	3

29EDF is the equal division of the just perfect fifth into 29 parts of 24.2053 cents each, corresponding to 49.5758 edo. It is related to the sengagen temperament, which tempers out 3136/3125 and 420175/419904 in the 7-limit.

Harmonics

Approximation of harmonics in 29edf

Harmonic		2	3	4	5	6	7	8	9	10	11	12
Error	Absolute (¢)	+10.3	+10.3	-3.7	-2.7	-3.7	-4.3	+6.6	-3.7	+7.6	+12.0	+6.6
	Relative (%)	+42.4	+42.4	-15.2	-11.2	-15.2	-17.7	+27.3	-15.2	+31.3	+49.6	+27.3
Steps (reduced)		50 (21)	79 (21)	99 (12)	115 (28)	128 (12)	139 (23)	149 (4)	157 (12)	165 (20)	172 (27)	178 (4)

Approximation of harmonics in 29edf

Harmonic		13	14	15	16	17	18	19	20	21	22	23
Error	Absolute (¢)	-10.9	+6.0	+7.6	-7.3	+8.7	+6.6	+9.8	-6.4	+6.0	-1.9	-6.3
	Relative (%)	-45.2	+24.7	+31.3	-30.3	+36.1	+27.3	+40.5	-26.3	+24.7	-8.0	-25.9
Steps (reduced)		183 (9)	189 (15)	194 (20)	198 (24)	203 (0)	207 (4)	211 (8)	214 (11)	218 (15)	221 (18)	224 (21)

Intervals

Intervals of 29edf

degree	cents value	corresponding JI intervals	comments
0		exact 1/1
1	24.2053	72/71
2	48.4107	36/35
3	72.6160	24/23
4	96.8214	37/35, 55/52
5	121.0267	15/14
6	145.2321	25/23, 37/34
7	169.4374	54/49
8	193.6428	19/17
9	217.8481	17/15
10	242.0534	23/20
11	266.2588	7/6
12	290.4641	71/60
13	314.6695	6/5
14	338.8748	45/37
15	363.0802	37/30
16	387.2855	5/4
17	411.4909	90/71
18	435.6962	9/7
19	459.9016	30/23
20	484.1069	45/34
21	508.3122	51/38
22	532.5176	49/36
23	556.7229
24	580.9283	7/5
25	605.1336
26	629.3390	23/16
27	653.5443	35/24
28	677.7497
29	701.9550	exact 3/2	just perfect fifth
30	726.16035
31	750.3657
32	774.5710
33	798.7764
34	822.9817	45/28
35	847.1871
36	871.3924	81/49
37	895.5978	57/34
38	919.8031	17/10
39	944.00845
40	968.2138	7/4
41	992.4191	16/9
42	1016.6245	9/5
43	1040.8298
44	1065.0352
45	1089.2405	15/8
46	1113.4459
47	1137.6512	56/29
48	1161.8566
49	1186.0619	(2/1-)
50	1210.2672	(2/1+)
51	1234.4726	49/24
52	1258.6779	29/14
53	1282.8833	21/10
54	1307.0886	17/8
55	1331.2940	41/19
56	1355.4993	35/16
57	1379.7047	20/9
58	1403.9100	exact 9/4

See also

• Carlos Alpha (9 EDF)
• Carlos Beta (11 EDF)
• Carlos Gamma (20 EDF)