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]]. It was named by [[User:CompactStar|CompactStar]] in 2024, referring to shallowtone being | 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 an [[2L 5s|antidiatonic]] counterpart of [[deeptone]], as well as it being just below the "surface" ([[5L 2s|diatonic]] fifths). | ||
== Temperaments == | == Temperaments == | ||
Revision as of 17:21, 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 an antidiatonic 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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