Shallowtone comma: Difference between revisions

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The '''shallowtone comma''' (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]].

{{Infobox Interval

| Ratio = 295245/262144

| Name = shallowtone comma, ptolemaic doubly-augmented unison

| Color name = LLy1, lalayo unison, Lalayobi comma

| Comma = yes

}}

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 temperament being an [[2L 5s|antidiatonic]] counterpart of [[deeptone]], as well as it being just below the "surface" ([[5L 2s|diatonic]] fifths).

== Temperaments ==

Tempering out leads to the shallowtone temperament, which implies a fifth ~~slightly smaller than~~ [[~~7edo~~]]~~'s but larger than~~ [[~~mavila~~]] ~~fifths~~. 5/4 is expressed as an A3 in melodic notation or a d3 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.

[[Category:Commas named for their regular temperament properties]]

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-The '''shallowtone comma''' (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]].
+{{Infobox Interval
+| Ratio = 295245/262144
+| Name = shallowtone comma, ptolemaic doubly-augmented unison
+| Color name = LLy1, lalayo unison, Lalayobi comma
+| Comma = yes
+}}
+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 temperament being an [[2L 5s|antidiatonic]] counterpart of [[deeptone]], as well as it being just below the "surface" ([[5L 2s|diatonic]] fifths).
 == Temperaments ==
-Tempering out leads to the shallowtone temperament, which implies a fifth slightly smaller than [[7edo]]'s but larger than [[mavila]] fifths. 5/4 is expressed as an A3 in melodic notation or a d3 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.
+[[Category:Commas named for their regular temperament properties]]