Shallowtone comma

Interval information

Ratio	295245/262144
Factorization	2-18 × 310 × 5
Monzo	[-18 10 1⟩
Size in cents	205.8637¢
Names	shallowtone comma, ptolemaic doubly-augmented unison
Color name	LLy1, lalayo unison, Lalayo comma
FJS name	[math]\displaystyle{ \text{AA1}^{5} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	36.1716
Weil norm (log2 max(n, d))	36.3431
Wilson norm (sopfr(nd))	71
Comma size	large
Open this interval in xen-calc

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.

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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