97edt

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97edt

98edt →

Prime factorization	97 (prime)
Step size	19.6078¢
Octave	61\97edt (1196.07¢)
Consistency limit	5
Distinct consistency limit	5

Division of the third harmonic into 97 equal parts (97EDT) is related to 61 edo, but with the 3/1 rather than the 2/1 being just; in fact, 97edt is close to 61.2002edo, meaning that its step is very accurately represented by 5 steps of 306edo. The octave is about 3.9252 cents compressed and the step size is about 19.6078 cents.

Lookalikes: 61edo, 141ed5, 158ed6

Intervals

Steps	Cents	Hekts	Approximate ratios
0	0	0	1/1
1	19.6	13.4
2	39.2	26.8	42/41, 43/42, 44/43
3	58.8	40.2	29/28, 30/29, 31/30
4	78.4	53.6	22/21, 23/22
5	98	67	18/17, 37/35
6	117.6	80.4	15/14, 31/29
7	137.3	93.8	13/12
8	156.9	107.2	23/21
9	176.5	120.6	31/28, 41/37
10	196.1	134	28/25, 37/33
11	215.7	147.4	17/15, 43/38
12	235.3	160.8	39/34
13	254.9	174.2	22/19, 29/25
14	274.5	187.6	34/29, 41/35
15	294.1	201
16	313.7	214.4	6/5
17	333.3	227.8	23/19
18	352.9	241.2	27/22, 38/31
19	372.5	254.6	31/25, 36/29
20	392.2	268
21	411.8	281.4	19/15
22	431.4	294.8
23	451	308.2	35/27
24	470.6	321.6
25	490.2	335.1
26	509.8	348.5
27	529.4	361.9	19/14
28	549	375.3
29	568.6	388.7	25/18, 43/31
30	588.2	402.1
31	607.8	415.5	27/19, 44/31
32	627.4	428.9	33/23
33	647.1	442.3
34	666.7	455.7	25/17
35	686.3	469.1
36	705.9	482.5
37	725.5	495.9	35/23, 38/25, 41/27
38	745.1	509.3	20/13, 43/28
39	764.7	522.7	14/9
40	784.3	536.1	11/7
41	803.9	549.5	35/22, 43/27
42	823.5	562.9	29/18, 37/23
43	843.1	576.3	44/27
44	862.7	589.7	28/17
45	882.4	603.1	5/3
46	902	616.5	37/22
47	921.6	629.9
48	941.2	643.3	31/18, 43/25
49	960.8	656.7
50	980.4	670.1	37/21, 44/25
51	1000	683.5	41/23
52	1019.6	696.9	9/5
53	1039.2	710.3	31/17
54	1058.8	723.7	35/19
55	1078.4	737.1	28/15, 41/22
56	1098	750.5
57	1117.6	763.9	21/11
58	1137.3	777.3	27/14
59	1156.9	790.7	39/20, 41/21
60	1176.5	804.1
61	1196.1	817.5
62	1215.7	830.9
63	1235.3	844.3
64	1254.9	857.7	31/15
65	1274.5	871.1	23/11
66	1294.1	884.5	19/9
67	1313.7	897.9
68	1333.3	911.3	41/19
69	1352.9	924.7
70	1372.5	938.1	42/19
71	1392.2	951.5	38/17
72	1411.8	964.9	43/19
73	1431.4	978.4
74	1451	991.8
75	1470.6	1005.2
76	1490.2	1018.6
77	1509.8	1032	43/18
78	1529.4	1045.4	29/12
79	1549	1058.8	22/9
80	1568.6	1072.2
81	1588.2	1085.6	5/2
82	1607.8	1099	38/15, 43/17
83	1627.4	1112.4
84	1647.1	1125.8	44/17
85	1666.7	1139.2	34/13
86	1686.3	1152.6
87	1705.9	1166
88	1725.5	1179.4
89	1745.1	1192.8
90	1764.7	1206.2	36/13
91	1784.3	1219.6	14/5
92	1803.9	1233	17/6
93	1823.5	1246.4	43/15
94	1843.1	1259.8	29/10
95	1862.7	1273.2	41/14, 44/15
96	1882.3	1286.6
97	1902	1300	3/1

Harmonics

Approximation of prime harmonics in 97edt

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	-3.93	+0.00	-2.01	+3.71	+5.53	-9.17	-3.01	+0.51	+3.08	-6.07	-3.88
	Relative (%)	-20.0	+0.0	-10.2	+18.9	+28.2	-46.8	-15.3	+2.6	+15.7	-30.9	-19.8
Steps (reduced)		61 (61)	97 (0)	142 (45)	172 (75)	212 (18)	226 (32)	250 (56)	260 (66)	277 (83)	297 (6)	303 (12)

Approximation of prime harmonics in 97edt

Harmonic		37	41	43	47	53	59	61	67	71	73	79
Error	Absolute (¢)	+3.54	+2.29	-1.73	+1.14	+8.83	-0.37	+0.74	-4.82	-7.17	+3.56	+4.07
	Relative (%)	+18.0	+11.7	-8.8	+5.8	+45.0	-1.9	+3.8	-24.6	-36.6	+18.2	+20.7
Steps (reduced)		319 (28)	328 (37)	332 (41)	340 (49)	351 (60)	360 (69)	363 (72)	371 (80)	376 (85)	379 (88)	386 (95)

Music

• Imagination by Francium