2025/2023: Difference between revisions

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The '''fidesma''', with a ratio of '''2025/2023''' is the difference between two [[17/15]] wide whole tones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.
The '''fidesma''', with a ratio of '''2025/2023''' is the difference between two [[17/15]] wide whole tones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth.


This comma's name come from both Latin "fidēs" (meaning both "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of essentially tempered chords.
This comma's name come from both Latin "fidēs" (meaning "chord"<ref>[[Wiktionary: fides #Etymology 2]]</ref>) and Latin fīdēs (meaning "you will rely on"<ref>[[Wiktionary: fido #Latin]]</ref>), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of essentially tempered chords.


== References ==
== References ==
<references/>
<references/>

Revision as of 19:35, 15 February 2023

Interval information
Ratio 2025/2023
Factorization 34 × 52 × 7-1 × 17-2
Monzo [0 4 2 -1 0 0 -2
Size in cents 1.710706¢
Name fidesma
Color name 17uuryy-3,
susuruyoyo negative 3rd
FJS name [math]\displaystyle{ \text{ddd}{-3}^{5,5}_{7,17,17} }[/math]
Special properties reduced
Tenney height (log2 nd) 21.966
Weil height (log2 max(n, d)) 21.9674
Wilson height (sopfr(nd)) 63
Comma size unnoticeable
S-expression S15 / S17
Open this interval in xen-calc

The fidesma, with a ratio of 2025/2023 is the difference between two 17/15 wide whole tones and a 9/7 supermajor third. Measuring about 1.7 ¢, it is an unnoticeable comma. It is the superpyth counterpart of 1445/1444, tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably 22edo, which is very close to quarter comma superpyth.

This comma's name come from both Latin "fidēs" (meaning "chord"[1]) and Latin fīdēs (meaning "you will rely on"[2]), which is fitting because those who like more accurate forms of superpyth-like temperaments and scales frequently end up relying on the tempering of this comma for a number of essentially tempered chords.

References