Breeze comma

Interval information

Ratio	2460375/2458624
Factorization	2-10 × 39 × 53 × 7-4
Monzo	[-10 9 3 -4⟩
Size in cents	1.232524¢
Names	breeze comma, sesquiquartisma
Color name	laquadru-atriyo negative 4th, Lr4y3-4, laquadru-atriyo comma
FJS name	[math]\displaystyle{ \text{dddd}{-4}^{5,5,5}_{7,7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	42.4599
Weil norm (log2 max(n, d))	42.4609
Wilson norm (sopfr(nd))	90
Comma size	unnoticeable
Open this interval in xen-calc

The breeze comma or sesquiquartisma (monzo: [-10 9 3 -4⟩; ratio: 2460375/2458624) is an unnoticeable 7-limit comma measuring about 1.23 cents, and is the difference between the schisma, 32805/32768, and the breedsma, 2401/2400. This means that tempering out the latter two commas means that the breeze comma is also tempered out, leading to the rank-2 sesquiquartififths temperament. This temperament is supported by edos including 41, 89, 130, and 171.

Temperaments

Tempering out this comma alone in the 7-limit leads to the rank-3 breeze temperament. Aside from sesquiquartififths, rank-2 temperaments which tempers out this comma include magic, kwai, septisuperfourth, and enneadecal.

Etymology

This comma was named by Tristan Bay in 2024, with two names: breeze comma and sesquiquartisma. The first name is possibly a corruption of breedsma, and the other is derived from sesquiquartififths.