2601/2600: Difference between revisions

Line 1:

{{Infobox Interval

| Name = ~~septendecimal sixth-tones comma~~

| Name = sextantonisma

| Color name = 17oo3ugg2, sosothugugu 2nd,<br>Sosothugugu comma

| Comma = yes

}}

'''2601/2600''' is a [[17-limit]] (also 2.3.5.13.17 subgroup) [[superparticular]] [[comma]] measuring about 0.67 [[cent]]s. It may be properly described as the ''septendecimal sixth-tones comma'', since it is the difference between [[51/50]] and [[52/51]], the two 17-limit sixth-tones. Another prominent identity is the little gap between [[18/13]] and a stack of two [[20/17]]'s.

'''2601/2600''', the '''sextantonisma''', is a [[17-limit]] (also 2.3.5.13.17 [[subgroup]]) [[superparticular]] [[comma]] measuring about 0.67 [[cent]]s. It may be properly described as the ''septendecimal sixth-tones comma'', since it is the difference between [[51/50]] and [[52/51]], the two 17-limit sixth-tones. Another prominent identity is the little gap between [[18/13]] and a stack of two [[20/17]]'s.

== Commatic relations ==

In terms of commas, it is the difference between the following pairs:

* [[289/288]] and [[325/324]]

Line 16:

Line 17:

== Temperaments ==

Tempering out this comma results in [[26/25]] ~~being~~ split into two equal parts, each representing 51/50~52/51, and enables the ~~related essentially tempered~~ chords.

Tempering out this comma in the 17-limit results in the rank-6 '''sextantonismic temperament''', or in the 2.3.5.13.17 subgroup, the rank-4 '''sextantonic temperament'''. In either case [[26/25]] is split into two equal parts, each representing 51/50~52/51, and enables the [[sextantonismic chords]].

== Etymology ==

The sextantonisma was named by [[Flora Canou]] in 2023. It is a contraction of ''septendecimal sixth-tones comma'' into a single word consisting of Latin ''sextans'' ("sixth") and ''tonus'' ("tone").

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

[[Category:Sextantonismic]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = septendecimal sixth-tones comma
+| Name = sextantonisma
 | Color name = 17oo3ugg2, sosothugugu 2nd,<br>Sosothugugu comma
 | Comma = yes
 }}
-'''2601/2600''' is a [[17-limit]] (also 2.3.5.13.17 subgroup) [[superparticular]] [[comma]] measuring about 0.67 [[cent]]s. It may be properly described as the ''septendecimal sixth-tones comma'', since it is the difference between [[51/50]] and [[52/51]], the two 17-limit sixth-tones. Another prominent identity is the little gap between [[18/13]] and a stack of two [[20/17]]'s.
+'''2601/2600''', the '''sextantonisma''', is a [[17-limit]] (also 2.3.5.13.17 [[subgroup]]) [[superparticular]] [[comma]] measuring about 0.67 [[cent]]s. It may be properly described as the ''septendecimal sixth-tones comma'', since it is the difference between [[51/50]] and [[52/51]], the two 17-limit sixth-tones. Another prominent identity is the little gap between [[18/13]] and a stack of two [[20/17]]'s.
+== Commatic relations ==
 In terms of commas, it is the difference between the following pairs:
 * [[289/288]] and [[325/324]]
@@ Line 16: / Line 17: @@
 == Temperaments ==
-Tempering out this comma results in [[26/25]] being split into two equal parts, each representing 51/50~52/51, and enables the related essentially tempered chords.
+Tempering out this comma in the 17-limit results in the rank-6 '''sextantonismic temperament''', or in the 2.3.5.13.17 subgroup, the rank-4 '''sextantonic temperament'''. In either case [[26/25]] is split into two equal parts, each representing 51/50~52/51, and enables the [[sextantonismic chords]].
+== Etymology ==
+The sextantonisma was named by [[Flora Canou]] in 2023. It is a contraction of ''septendecimal sixth-tones comma'' into a single word consisting of Latin ''sextans'' ("sixth") and ''tonus'' ("tone").
 == See also ==
 * [[Unnoticeable comma]]
 * [[List of superparticular intervals]]
+[[Category:Sextantonismic]]