Essential tempering comma: Difference between revisions
how did this not use the terms "octave complement", "unison", "octave", or "octave-reduced" |
Restore credit to Gene |
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== Finding small essential tempering commas == | == Finding small essential tempering commas == | ||
Consider a set of "consonances" composed of octave-reduced JI ratios, including the unison and octave, such that any interval and its octave complement are both "consonances". A JI interval ''c'' is an essential tempering comma for this set of consonances if: | [[Gene Ward Smith]] derived the following method to find essential tempering commas. Consider a set of "consonances" composed of octave-reduced JI ratios, including the unison and octave, such that any interval and its octave complement are both "consonances". A JI interval ''c'' is an essential tempering comma for this set of consonances if: | ||
# ''c'' is not the unison, but it is smaller than any interval between two consonances. | # ''c'' is not the unison, but it is smaller than any interval between two consonances. | ||