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Eight more well temperaments

🔗Gene Ward Smith <gwsmith@svpal.org>

3/6/2003 6:22:04 AM

These each have five pure fifths. I give the scale, followed by the
brats for each scale step. These are exact; there is an odd man out
which is either 8/5, 12/7 or 16/9.

[1, 1215/1144, 160/143, 10213/8580, 180/143, 1145/858, 405/286,
214/143, 2729/1716, 240/143, 139/78, 270/143]
[2, 2, 3/2, 2, 3/2, 12/7, 3/2, 2, 2, 3/2, 2, 3/2]

[1, 96/91, 393/350, 108/91, 573/455, 243/182, 642/455, 3/2, 144/91,
153/91, 162/91, 66/35]
[3/2, 3/2, 2, 3/2, 2, 16/9, 2, 2, 3/2, 2, 3/2, 2]

[1, 535/506, 284/253, 300/253, 1275/1012, 675/506, 65/46, 3/2,
400/253, 425/253, 450/253, 955/506]
[3/2, 2, 2, 3/2, 2, 8/5, 2, 2, 3/2, 3/2, 3/2, 2]

[1, 763/720, 9/8, 571/480, 4549/3600, 427/320, 637/450, 3/2, 763/480,
27/16, 427/240, 6809/3600]
[3/2, 3/2, 3/2, 2, 2, 8/5, 2, 3/2, 2, 2, 3/2, 2]

[1, 17/16, 9/8, 381/320, 81/64, 171/128, 227/160, 3/2, 509/320, 27/16,
57/32, 379/200]
[3/2, 2, 3/2, 2, 2, 16/9, 2, 3/2, 2, 3/2, 3/2, 2]

[1, 637/600, 9/8, 763/640, 81/64, 427/320, 6809/4800, 3/2, 763/480,
27/16, 571/320, 4549/2400]
[3/2, 2, 3/2, 2, 2, 8/5, 2, 3/2, 3/2, 3/2, 2, 2]

[1, 18/17, 286/255, 81/68, 64/51, 3403/2550, 24/17, 382/255, 27/17,
428/255, 4547/2550, 32/17]
[2, 3/2, 2, 2, 3/2, 12/7, 3/2, 2, 3/2, 2, 2, 3/2]

[1, 800/759, 850/759, 300/253, 955/759, 675/506, 1070/759, 1136/759,
400/253, 425/253, 450/253, 130/69]
[2, 3/2, 3/2, 3/2, 2, 8/5, 2, 2, 3/2, 2, 3/2, 2]