Equal-step tuning: Difference between revisions

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* On Gamma scales, <math>S_n</math> is mapped on the <math>(2n - 1)^\text{th}</math> degree step, and <math>B_n</math> is mapped on the <math>(2n + 1)^\text{th}</math> degree step.
* On Gamma scales, <math>S_n</math> is mapped on the <math>(2n - 1)^\text{th}</math> degree step, and <math>B_n</math> is mapped on the <math>(2n + 1)^\text{th}</math> degree step.


Alpha types flatten the smaller interval and sharpen the larger; Beta types do the reverse; Gamma types again flatten the smaller and sharpen the larger.
Alpha types flatten the smaller interval and sharpen the larger; Beta types do the reverse; Gamma types also sharpen the smaller and flatten the larger.


The Alpha, Beta, and Gamma types bring their interval pairs increasingly close to just intonation. <math>n</math> also brings the interval pairs increasingly near to pure.
The Alpha, Beta, and Gamma types bring their interval pairs increasingly close to just intonation. <math>n</math> also brings the interval pairs increasingly near to pure.