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Wendellized version of Werckmeister III

🔗Gene Ward Smith <gwsmith@svpal.org>

3/6/2003 4:23:59 PM

Just to add fat to the fire, here is something I just calculated--a
slightly mutated version of Werckmeister III which has "nice" beat
ratios on 11 of its 12 notes.

Scale:

[1, 43335/40979, 45796/40979, 48600/40979, 51360/40979, 54675/40979,
57780/40979, 183184/122937, 64800/40979, 68480/40979, 72900/40979,
77040/40979]

Fifths above successive degrees:

[183184/122937, 160/107, 160/107, 3/2, 3/2, 81958/54675, 3/2, 3/2,
3/2, 3/2, 3/2, 3/2]

Major thirds above successive degrees:

[51360/40979, 135/107, 135/107, 22898/18225, 135/107, 13696/10935,
135/107, 135/107, 40979/32400, 81/64, 22898/18225, 135/107]

Beat ratios for successive degrees:

[1712/327, 2, 2, 3/2, 3/2, 2, 3/2, 3/2, 3/2, 3/2, 3/2, 3/2]

There seems to be no reason not to use this in place of Werckmeister
if synchronized beating is desired.