Breeze comma: Difference between revisions

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| Ratio = 2460375/2458624
| Ratio = 2460375/2458624
| Color name = laquadru-atriyo negative 4th, Lr<sup>4</sup>y<sup>3</sup>-4,<br>laquadru-atriyo comma
| Color name = laquadru-atriyo negative 4th, Lr<sup>4</sup>y<sup>3</sup>-4,<br>laquadru-atriyo comma
| Comma = yes}}
| Comma = yes
}}


The '''breeze comma''', 2460375/2458624, is an [[Unnoticeable comma|unnoticeable]] [[7-limit]] comma measuring about 1.23 [[Cent|cents]], and is the combination of the [[schisma]], 32805/32768, and the [[2401/2400|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 [[Schismatic family#Sesquiquartififths|breeze]] (or sesquiquartififths) temperament. This temperament is supported by EDOs including [[41edo|41]], [[89edo|89]], [[130edo|130]], and [[171edo|171]].
The '''breeze comma''' or '''sesquiquartisma''' ({{monzo|legend=1| -10 9 3 -4 }}; [[ratio]]: 2460375/2458624) is an [[unnoticeable comma|unnoticeable]] [[7-limit]] [[comma]] measuring about 1.23 [[cent]]s, and is the difference between the [[schisma]], 32805/32768, and the [[2401/2400|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 [[41edo|41]], [[89edo|89]], [[130edo|130]], and [[171edo|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''.
 
[[Category:Breeze]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 07:03, 23 April 2026

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.