User:Moremajorthanmajor/Relative cent problem

The problem of the relative cent, though, is that 3/2 is 58.496 percent of the octave, which means the relative goodness of 3/2 to it is very heavily dependent on which edo you divide by 100. But if you increase the divisor, the following situation emerges:

Divisor	Octave	3/2	*12
101	1212 f¢	59.081°	708.975 f¢
102	1224 M¢	59.666	715.994 Μ¢
103	1236	60.251	723.014
104	1248	60.836	730.033
105	1260 ¢t	61.421	737.053 ¢t
106	1272 π¢	62.006	744.072 π¢
107	1284	62.591	751.092
108	1296 (90012) ¢2.5	63.176 (53.21412)	758.111 (532.14112) ¢2.5
109	1308	63.761	765.131
110	1320	64.346	772.1505
111	1332	64.931	779.17
112	1344 (6C014) lb	65.516 (49.73114)	786.19 (402.29214) lb
113	1356	66.101	793.209
114	1368	66.686	800.229
115	1380	67.271	807.248
116	1392 ν¢	67.856	814.268 ν¢
117	1404	68.441	821.287
118	1416	69.026	828.307
119	1428 μ¢	69.6105	835.3265 μ¢
120	1440 (X0012) dF	70.1955 (5X.24212)	842.346 (5X2.41X12) dF
121	1452 ¢2	70.7805	849.366 ¢2
122	1464	71.365	856.385
123	1476 ξ¢	71.95	863.405 ξ¢
124	1488	72.535	870.424
125	1500 ¢3	73.12	877.444 ¢3
126	1512 (7A014)	73.705 (53.9C314)	884.463 (472.66B14)
127	1524	74.29	891.483
128	1536 (60016) 7mu	74.875 (4A.E0116)	898.502 (382.8116) 7mu
129	1548	75.46	905.522
130	1560 ρ¢	76.045	912.5415 ρ¢
131	1572	76.63	919.561
132	1584 (E0012)	77.215 (65.2712)	926.581 (652.6E712)
133	1596	77.8	933.6
134	1608	78.385	940.62
135	1620	78.97	947.639
136	1632 ₮	79.555	954.659 ₮
137	1644	80.14	961.678
138	1656	80.725	968.698
139	1668	81.31	975.7175
140	1680 (88014)	81.895 (5B.C7514)	982.737 (502.A4614)
141	1692 ¢p	82.48	989.757
142	1704	83.065	996.776
143	1716	83.65	1003.796
144	1728 (100012) ħ	84.235 (70.29912)	1010.82 (702.99512) ħ

In other words, only each 12th divisor of the next 28 after 100 has the same problem as 100 does for use as the base of a relative cent. Also, the last three have the problem that they put 3/2 in the middle of a cent.

See also

• Relative cent
• The author: User:Moremajorthanmajor (User talk)