series of improving equal temperaments

In each series below, each term represents the number of notes in the
simplest equal temperament that improves upon the accuracy of the
previous one. Tunings in parentheses are the second-best for up to that
many notes. I don't go beyond 200TET. Accuracy is defined with respect
to JI in the indicated odd limit; equal temperaments not consistent
within the given limit are excluded.

3-limit:
1
2
3
5
7
12 (17) (24)
29
41
53 (65) (94) (106)
200

5-limit:
3 (4)
5
7 (8) (9) (10)
12 (15)
19 (22)
31
34 (46)
53 (65) (87)
118 (137) (152)
171

7-limit:
4 (5)
6
9
10
12
15 (16)
19
22 (26)
27
31 (37) (41) (53) (62)
68
72
99 (103) (130)
140
171

9-limit:
5
12
19
22
27
31
41 (46)
53 (58)
72 (77) (94)
99 (118) (130)
171

11-limit:
22 (26) (29)
31
41 (46)
58
72 (80) (87) (94) (111)
118 (130)
152 (159) (176) (183) (198)

13-limit:
26
29
41
46
58
72 (80)
87
111
130 (149) (159)
166
183
190
198

15-limit:
29
41
58
72 (80)
87 (94)
111
121
130 (149) (159)
183
190

17-limit:
58
72 (80)
94
111
121
149
159
183

19-limit:
80
94
111
121

21-limit:
94
111

23-limit:
94


SMTPOriginator: tuning@eartha.mills.edu
From: "Paul H. Erlich"
Subject: 19-tone ruminations and 22-tone exhortations
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