Meantone: Difference between revisions
→Tuning spectrum: simplify some ratios under octave equivalence |
→Formula to calculate n-comma meantone: improvement and converse derivation |
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=== Formula | === Formula for ''n''-comma meantone === | ||
The [[generator]] ''g'' of ''n''-comma meantone, where ''n'' is a fraction (like 1/5, 2/9, etc.), can be found by | |||
<math>\displaystyle g = g_J - ng_c</math> | |||
''g'' = 701.955001 | where ''g''<sub>''J''</sub> = 701.955001 cents is the size of the just perfect fifth, and ''g''<sub>c</sub> = 21.506290 cents is the size of the syntonic comma. | ||
Conversely, ''n'' can be found by | |||
<math>\displaystyle n = (g_J - g)/g_c</math> | |||
== Music == | == Music == | ||