Shallowtone comma: Difference between revisions
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The '''shallowtone comma''' or '''ptolemaic doubly-augmented unison''' (ratio: 295245/262144, monzo: {{monzo| -18 -10 1 }}) is an interval of 205.864 cents. It is equal to [[9/8]] raised by a [[schisma]] and is the difference between [[5/4]] and the Pythagorean diminished third [[65536/59049]]. | The '''shallowtone comma''' or '''ptolemaic doubly-augmented unison''' (ratio: 295245/262144, monzo: {{monzo| -18 -10 1 }}) is an interval of 205.864 cents. It is equal to [[9/8]] raised by a [[schisma]] and is the difference between [[5/4]] and the Pythagorean diminished third [[65536/59049]]. It was named by [[User:CompactStar|CompactStar]] in 2024, referring to shallowtone being a Mavila counterpart of [[deeptone]], as well as it being just below the "surface" ([[5L 2s|diatonic]] fifths). | ||
== Temperaments == | == Temperaments == | ||
Tempering out leads to the shallowtone temperament, which implies a very flat fifth intermediate between [[mavila]] fifths and [[7edo]]'s fifth. 5/4 is expressed as an augmented third in melodic notation or a diminished third in harmonic notation. | Tempering out leads to the shallowtone temperament, which implies a very flat fifth intermediate between [[mavila]] fifths and [[7edo]]'s fifth. 5/4 is expressed as an augmented third in melodic notation or a diminished third in harmonic notation. | ||
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Revision as of 17:18, 4 April 2024
| Interval information |
ptolemaic doubly-augmented unison
reduced harmonic
The shallowtone comma or ptolemaic doubly-augmented unison (ratio: 295245/262144, monzo: [-18 -10 1⟩) is an interval of 205.864 cents. It is equal to 9/8 raised by a schisma and is the difference between 5/4 and the Pythagorean diminished third 65536/59049. It was named by CompactStar in 2024, referring to shallowtone being a Mavila counterpart of deeptone, as well as it being just below the "surface" (diatonic fifths).
Temperaments
Tempering out leads to the shallowtone temperament, which implies a very flat fifth intermediate between mavila fifths and 7edo's fifth. 5/4 is expressed as an augmented third in melodic notation or a diminished third in harmonic notation.
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