Oscillorwell

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This page presents a novelty topic.

It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex.

Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

Oscillorwell is a family of temperaments with sinusoidally varying generators.

Oscillorwell, 3/2 repeating version

The formula for the nth generator is 1200*log(7/6,2) + 9.674*sin(pi n/7)^2, where the factor is chosen so that every seventh generator would form a just 3/2.

0.000
37.519
88.325
160.479
203.912
266.871
310.304
364.391
433.264
470.783
535.563
586.370
637.176
701.956
739.475
808.348
862.435
905.868
968.827
1012.260
1084.414
1135.220

Oscillorwell, 7/4 repeating version

The formula for the nth generator is 1200*log(7/6,2) + 8.465*sin(pi n/8)^2, where the factor is chosen so that every eighth generator would form a just 7/4.

0.000
36.939
76.870
162.743
202.674
268.111
308.042
350.966
433.846
470.785
539.214
582.139
626.302
701.957
737.656
813.311
857.475
900.399
968.828
1005.767
1088.647
1131.571


Todo: improve synopsis, add definition, improve layout, link