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Least square tunings of fifth for commas

🔗Gene Ward Smith <genewardsmith@coolgoose.com>

10/18/2006 9:23:28 PM

Here is a list of commas, sorted by increasing sharpness of the least
squares tuning of the fifth for the corresponding codimension one
temperament.

36/35 685.698207
45/44 691.805669
525/512 692.089470
81/80 696.164846
1029/1000 697.005843
2430/2401 698.792052
225/224 699.812911
3125/3072 699.839746
126/125 699.984320
99/98 700.324226
1029/1024 700.333324
1728/1715 700.647644
245/242 700.777291
243/242 700.814431
19683/19600 701.056573
16875/16807 701.307748
385/384 701.354659
441/440 701.430980
65625/65536 701.707688
32805/32768 701.727513
540/539 701.732842
703125/702464 701.822080
1375/1372 701.851244
250047/250000 701.922457
43923/43904 701.925303
9801/9800 701.942580
151263/151250 701.953232
3294225/3294172 701.954783
49/48 701.955001
50/49 701.955001
121/120 701.955001
2401/2400 701.955001
3025/3024 701.955001
78125000/78121827 701.959248
4375/4374 702.005884
6250/6237 702.019371
4000/3993 702.044187
420175/419904 702.061943
5632/5625 702.129575
3136/3125 702.435257
15625/15552 702.478051
6144/6125 702.491205
1331/1323 702.688853
10976/10935 702.880572
5120/5103 702.888699
3125/3087 703.069782
176/175 703.085975
100/99 703.569386
896/891 703.925434
875/864 704.145205
4000/3969 704.436192
245/243 704.876579
2048/2025 705.446531
77/75 705.751786
56/55 706.341692
55/54 706.422187
686/675 707.336787
128/125 708.798144
250/243 711.011921
64/63 711.692177