Gammic comma - Revision history

Lériendil at 12:54, 14 January 2025

2025-01-14T12:54:11Z

← Older revision		Revision as of 12:54, 14 January 2025
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as ~~(3/2)/~~(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[3/2\|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552\|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).		The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds (5/4)]] and eleven [[6/5\|just minor thirds (6/5)]], that is, (6/5)<sup>11</sup>/(5/4)<sup>9</sup>. This can also be written as (25/24)<sup>10</sup>/(3/2), that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[3/2\|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552\|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).

	== Temperaments ==		== Temperaments ==

FloraC: Quickfix

2024-12-12T08:38:28Z

Quickfix

← Older revision		Revision as of 08:38, 12 December 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|~~classic major sixth~~]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552\|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).		The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[3/2\|perfect fifth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552\|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).

	== Temperaments ==		== Temperaments ==

Lériendil at 13:54, 11 December 2024

2024-12-11T13:54:38Z

← Older revision		Revision as of 13:54, 11 December 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between a [[~~diaschisma~~]] and ~~three~~ [[~~15625/15552\|kleisma~~]]s.		The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between three [[15625/15552\|kleismas (15625/15552)]] and a [[diaschisma]] (2048/2025).

	== Temperaments ==		== Temperaments ==

Lériendil at 23:54, 10 December 2024

2024-12-10T23:54:16Z

← Older revision		Revision as of 23:54, 10 December 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between a [[diaschisma]] and three [[kleisma]]s.		The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between a [[diaschisma]] and three [[15625/15552\|kleisma]]s.

	== Temperaments ==		== Temperaments ==

Lériendil at 23:54, 10 December 2024

2024-12-10T23:54:03Z

← Older revision		Revision as of 23:54, 10 December 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]].		The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]]. It is additionally the difference between a [[diaschisma]] and three [[kleisma]]s.

	== Temperaments ==		== Temperaments ==

Lériendil at 23:53, 10 December 2024

2024-12-10T23:53:29Z

← Older revision		Revision as of 23:53, 10 December 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it ~~is also the difference between the [[valentine comma]] and [[sycamore comma]], and~~ is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]].		The '''gammic comma''' ({{monzo\|legend=1\| -29 -11 20 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and eleven [[6/5\|just minor thirds]], that is, (5/4)<sup>9</sup>/(6/5)<sup>11</sup>. This can also be written as (3/2)/(25/24)<sup>10</sup>, that is, the difference between a stack of ten [[25/24\|classic chromatic semitones]] and a [[5/3\|classic major sixth]]; it is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]]; and also the difference between the [[valentine comma]] and [[sycamore comma]].

	== Temperaments ==		== Temperaments ==

Lériendil: Created page with "{{Infobox Interval | Ratio = 95367431640625/95105071448064 | Monzo = -29 -11 20 | Name = gammic comma | Comma = yes }} The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }})..."

2024-12-10T23:51:34Z

Created page with "{{Infobox Interval | Ratio = 95367431640625/95105071448064 | Monzo = -29 -11 20 | Name = gammic comma | Comma = yes }} The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }})..."

New page

{{Infobox Interval
| Ratio = 95367431640625/95105071448064
| Monzo = -29 -11 20
| Name = gammic comma
| Comma = yes
}}
The '''gammic comma''' ({{monzo|legend=1| -29 -11 20 }}) is a [[small comma|small]] [[5-limit]] [[comma]] with a size of 4.769 [[cent]]s. It is the difference between nine [[5/4|just major thirds]] and eleven [[6/5|just minor thirds]], that is, (5/4)9/(6/5)11. This can also be written as (3/2)/(25/24)10, that is, the difference between a stack of ten [[25/24|classic chromatic semitones]] and a [[5/3|classic major sixth]]; it is also the difference between the [[valentine comma]] and [[sycamore comma]], and is part of a series of [[Don Page comma]]s between adjacent [[superparticular]]s, following the [[escapade comma]], which follows the [[Pythagorean comma]].

== Temperaments ==
Temperaments in the [[gammic family]] temper out this comma.

== Etymology ==
The gammic comma is named after the [[Carlos Gamma]] scale, nearly identical to [[20edf]], which the gammic temperament generates.

[[Category:Gammic]]