Ampersand comma: Difference between revisions
Octave reduction should be made explicit, in which case 16/15 turns out still more convenient |
-data (addressed in the syntonic-31 continuum) |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 34171875/33554432 | | Ratio = 34171875/33554432 | ||
| Name = ampersand | | Name = ampersand comma | ||
| Color name = LLy<sup>6</sup>-3, Lala-tribiyo comma | | Color name = LLy<sup>6</sup>-3, Lala-tribiyo comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
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 [[ | The '''ampersand comma''', 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 eponymous '''ampersand temperament''', which is the 5-limit version of [[miracle|miracle temperament]]. See [[Syntonic–31 equivalence continuum #Ampersand]] for technical data. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand. | ||
[[Category:Miracle]] | |||
[[Category:Commas named after individuals]] | |||