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Exotic 1/3-comma meantone

🔗Gene Ward Smith <gwsmith@svpal.org>

3/17/2003 12:05:10 PM

Here is a 1/3-comma temperament along the lines of the "Margoized"
1/4-comma I posted yesterday.

Circle of fifths, where z = (10/3)^(1/3) is the 1/3-comma fifth:

[z, z, z, z, z, z, z, z, 126/125*z, z, z, 36/35*z]

Corresponding minor thirds:

[6/5, 6/5, 6/5, 6/5, 6/5, 6/5, 25/21, 25/21, 25/21, 7/6, 7/6, 7/6]

Here they both are in terms of cents:

Exotic 1/3-comma meantone

63.503664
189.572476
266.870905
379.144951
505.213762
568.717426
694.786239
772.084668
884.358714
961.657143
1073.931189
2/1

Exotic ("Margoized") 1/4-comma meantone

85.913604
193.156856
279.070461
386.313711
503.421572
579.470567
696.578427
782.492032
889.735283
975.648888
1082.892139
2/1