1625/1624: Difference between revisions

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This comma isn't tempered out in freyr. + etymology; cleanup
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{{Infobox Interval|Ratio=1625/1624|Name=fantasia|Color name=29u3ory<sup>3</sup>M, twenuthorutriyoma|Comma=yes}}The fantasia, with a [[ratio]] of '''1625/1624''', is an [[Unnoticeable comma|unnoticeable]] [[29-limit]] [[comma]] measuring about 1.06 [[Cent|cents]]. It is the difference between a stack of [[225/224]] and [[325/324]], and [[145/144]] (the adeonisma).
{{Infobox Interval
| Ratio = 1625/1624
| Name = fantasia
| Color name = 29u3ory<sup>3</sup>M, twenuthorutriyoma
| Comma = yes
}}
'''1625/1624''', the '''fantasia''', is an [[unnoticeable comma|unnoticeable]] [[29-limit]] [[comma]] measuring about 1.06 [[cent]]s.  


In terms of other commas, it is the difference between [[784/783]] and [[43904/43875]]. By nature of 43904/43875's equivalences, tempering 784/783 out alongside 2401/2400 and 4096/4095, 196/195 and 225/224, also tempers it out.
In terms of other commas, it is the difference between a stack of [[225/224]] and [[325/324]], and [[145/144]] (the adeonisma), as well as the difference between [[784/783]] and [[43904/43875]]. By nature of 43904/43875's equivalences, tempering 784/783 out alongside 2401/2400 and 4096/4095, 196/195 and 225/224, also tempers it out.


== Temperaments ==
== Temperaments ==
It is tempered out in the add-29 [[magic]] and [[miraculous]] extensions; in [[newt]] and [[freyr]] since 784/783 and 43904/43875 are both tempered out too; and in the [[2.3.5.7.11.13.19.29 subgroup]] lowest-badness [[septischismic]] extension.
It is tempered out in the add-29 [[magic]] and [[miraculous]] extensions; in [[newt]] since 784/783 and 43904/43875 are both tempered out too; and in the [[2.3.5.7.11.13.19.29 subgroup]] lowest-badness [[septischismic]] extension.
 
== Etymology ==
This comma was named by [[Eufalesio]] in 2026.
 
[[Category:Commas with unknown etymology]]

Revision as of 08:29, 14 September 2026

Interval information
Ratio 1625/1624
Factorization 2-3 × 53 × 7-1 × 13 × 29-1
Monzo [-3 0 3 -1 0 1 0 0 0 -1
Size in cents 1.065703 ¢
Name fantasia
Color name 29u3ory3M, twenuthorutriyoma
FJS name [math]\displaystyle{ \text{d}{-2}^{5,5,5,13}_{7,29} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 21.3316
Weil norm (log2 max(n, d)) 21.3324
Wilson norm (sopfr(nd)) 70
Comma size unnoticeable
Open this interval in xen-calc

1625/1624, the fantasia, is an unnoticeable 29-limit comma measuring about 1.06 cents.

In terms of other commas, it is the difference between a stack of 225/224 and 325/324, and 145/144 (the adeonisma), as well as the difference between 784/783 and 43904/43875. By nature of 43904/43875's equivalences, tempering 784/783 out alongside 2401/2400 and 4096/4095, 196/195 and 225/224, also tempers it out.

Temperaments

It is tempered out in the add-29 magic and miraculous extensions; in newt since 784/783 and 43904/43875 are both tempered out too; and in the 2.3.5.7.11.13.19.29 subgroup lowest-badness septischismic extension.

Etymology

This comma was named by Eufalesio in 2026.