Shallowtone

Shallowtone is a 5-limit and higher temperament which tempers out the shallowtone comma. It is generated by a flat fifth, which is typically sharper than in mavila but flatter than in 7edo. This gives it a high error, although not as much as mavila. The ~5/4 is reached by minus ten fifths octave-reduced, which is an augmented third (C-Ex) in melodic antidiatonic notation and a diminished third (C-Eb) in harmonic antidiatonic notation. The only reasonable extension to the 7-limit tempers out 36/35. Additionally, there is a weak extension semishallowtone with a half-octave period, tempering out 405/392.

The name was coined by CompactStar in 2024.

See Syntonic-chromatic equivalence continuum#Shallowtone for technical data.

Interval chain

In the following table, prime harmonics are labeled in bold.

#	Cents*	Approximate ratios
		5-limit	13-limit extension
0	0.000	1/1
1	681.801	3/2	13/9
2	163.602	9/8	11/10, 13/12, 35/32, 81/70
3	845.403	27/16	13/8, 117/70
4	327.204	81/64	39/32, 99/80
5	1009.0511
6	490.806
7

• in 5-limit CTE tuning

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