Equal-step tuning: Difference between revisions

Line 354:

Mappings of <math>S_n</math> and <math>B_n</math> are always mapped as follow:

* On Alpha scales, <math>S_n</math> is mapped on the <math>(n - 1)</math>th degree step and <math>B_n</math> is mapped on the <math>n</math>th degree step

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

* On Beta scales, <math>S_n</math> is mapped on the <math>n</math>th degree step and <math>B_n</math> is mapped on the <math>(n + 1 )</math>th degree step

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

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

@@ Line 354: / Line 354: @@
 Mappings of <math>S_n</math> and <math>B_n</math> are always mapped as follow:
-* On Alpha scales, <math>S_n</math> is mapped on the <math>(n - 1)</math>th degree step and <math>B_n</math> is mapped on the <math>n</math>th degree step
+* On Alpha scales, <math>S_n</math> is mapped on the <math>(n - 1)^\text{th}</math> degree step, and <math>B_n</math> is mapped on the <math>n^\text{th}</math> degree step.
-* On Beta scales, <math>S_n</math> is mapped on the <math>n</math>th degree step and <math>B_n</math> is mapped on the <math>(n + 1 )</math>th degree step
+* On Beta scales, <math>S_n</math> is mapped on the <math>n^\text{th}</math> degree step, and <math>B_n</math> is mapped on the <math>(n + 1)^\text{th}</math> degree step.
-* On Gamma scales <math>S_n</math> is mapped on the <math>(2n - 1)</math>th degree step and <math>B_n</math> is mapped on the <math>(2n + 1)</math>th 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.