Ampersand comma: Difference between revisions
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Octave reduction should be made explicit, in which case 16/15 turns out still more convenient |
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The '''ampersand''', or '''Ampersand's | The '''ampersand''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the 5-limit version of [[Gamelismic clan #Miracle|miracle temperament]]. The Ampersand's comma was named after [[Paul Rapoport]]'s cat, Ampersand. | ||
Revision as of 05:56, 6 April 2023
| Interval information |
reduced harmonic
The ampersand, or Ampersand's comma, is the comma of 34171875/33554432 of size 31.567 cents. It is the amount by which six classical diatonic semitones (16/15) fall short of the perfect fifth (3/2); that is, (3/2)/(16/15)6, or the amount by which seven such intervals fall short of the classical minor sixth (8/5). The 5-limit temperament tempering it out gives the 5-limit version of miracle temperament. The Ampersand's comma was named after Paul Rapoport's cat, Ampersand.