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More bridge sequence stuff

🔗Gene Ward Smith <gwsmith@svpal.org>

3/4/2005 2:17:06 AM

Here are the bridge sequences reduced via the 3-limit comma, together
with the linear temperament resulting from using all the commas other
than the 3-limit comma, for some standard 11-limit vals.

5
[256/243, 16/15, 28/27, 33/32]
[1, -1, 3, -1, -4, 2, -5, 10, 1, -13]

7
[2187/2048, 81/80, 64/63, 33/32]
[1, 4, -2, -1, 4, -6, -5, -16, -16, 4]

9
[19683/16384, 135/128, 243/224, 33/32]
[1, -3, 5, -1, -7, 5, -5, 20, 8, -20]

10
[256/243, 25/24, 28/27, 55/54]
[2, 1, 6, 5, -3, 4, 1, 11, 8, -7]

12
[531441/524288, 81/80, 64/63, 729/704]
[1, 4, -2, 6, 4, -6, 6, -16, 0, 24]

15
[256/243, 128/125, 28/27, 55/54]
[3, 0, 9, 9, -7, 6, 4, 21, 21, -6]

19
[1162261467/1073741824, 81/80, 59049/57344, 729/704]
[1, 4, 10, 6, 4, 13, 6, 12, 0, -18]

22
[34359738368/31381059609, 20480/19683, 64/63, 8192/8019]
[1, 9, -2, -6, 12, -6, -13, -30, -45, -10]

24
[531441/524288, 81/80, 49/48, 2079/2048]
[2, 8, 1, -7, 8, -4, -18, -20, -44, -23]

26
[2541865828329/2199023255552, 81/80, 137781/131072, 729/704]
[1, 4, -9, 6, 4, -17, 6, -32, 0, 48]

29
[70368744177664/68630377364883, 32805/32768, 14680064/14348907,
180224/177147]
[1, -8, 15, 11, -15, 21, 14, 57, 53, -21]

31
[617673396283947/562949953421312, 81/80, 59049/57344, 17537553/16777216]
[1, 4, 10, -13, 4, 13, -24, 12, -44, -71]

36
[531441/524288, 81/80, 1029/1024, 2187/2156]
[3, 12, -1, 23, 12, -10, 26, -36, 12, 68]

41
[36893488147419103232/36472996377170786403, 32805/32768,
33554432/33480783, 4294967296/4261625379]
[1, -8, -14, -18, -15, -25, -32, -10, -14, -2]

46
[9444732965739290427392/8862938119652501095929,
10737418240/10460353203, 14680064/14348907, 180224/177147]
[1, 21, 15, 11, 31, 21, 14, -24, -47, -21]

50
[717897987691852588770249/604462909807314587353088, 81/80,
59049/57344, 17537553/16777216]
[1, 4, 10, -13, 4, 13, -24, 12, -44, -71]

58
[70368744177664/68630377364883, 2048/2025, 2097152/2066715,
14417920/14348907]
[2, -4, -16, 34, -11, -31, 47, -26, 93, 151]

72
[531441/524288, 15625/15552, 4375/4374, 4125/4096]
[6, 5, 22, -21, -6, 18, -54, 37, -66, -135]

80
[170141183460469231731687303715884105728/147808829414345923316083210206383297601,
1441151880758558720/1350851717672992089, 14680064/14348907, 180224/177147]
[1, 38, 15, 11, 58, 21, 14, -72, -106, -21]

87
[70368744177664/68630377364883, 67108864/66430125, 179200/177147,
2200/2187]
[3, -12, 57, 45, -26, 82, 61, 166, 146, -71]

89
[2909321189362570808630465826492242446680483/2787593149816327892691964784081045188247552,
32805/32768, 17793060798303/17592186044416,
1203608880446635951299/1180591620717411303424]
[1, -8, -26, -42, -15, -44, -70, -38, -70, -28]

94
[713623846352979940529142984724747568191373312/706965049015104706497203195837614914543357369,
32805/32768, 33554432/33480783, 94489280512/94143178827]
[1, -8, -14, 23, -15, -25, 33, -10, 81, 113]