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''' (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.

~~It factors into two superparticular intervals: [[1701/1700]] × [[2500/2499]].~~

== References ==

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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.
-It factors into two superparticular intervals: [[1701/1700]] × [[2500/2499]].
 == References ==
 <references/>