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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''' (also 3.5.7.17 [[subgroup]]) 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. | ||
It factors into two superparticular intervals: [[1701/1700]] × [[2500/2499]]. | |||
== Temperaments == | |||
Tempering out this comma in the 17-limit results in the rank-6 '''fidesmic temperament''', or in the the 3.5.7.17 subgroup, the rank-3 '''fidic temperament'''. | |||
== Etymology == | |||
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. | 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 08:22, 17 February 2023
| Interval information |
susuruyoyo negative 3rd
The fidesma, with a ratio of 2025/2023 (also 3.5.7.17 subgroup) 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.
It factors into two superparticular intervals: 1701/1700 × 2500/2499.
Temperaments
Tempering out this comma in the 17-limit results in the rank-6 fidesmic temperament, or in the the 3.5.7.17 subgroup, the rank-3 fidic temperament.
Etymology
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.