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Date: Mon, 15 Dec 1997.
Subject: 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

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