50/49 - Revision history

FloraC: + etymology

2026-03-04T08:24:14Z

+ etymology

← Older revision		Revision as of 08:24, 4 March 2026
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	{{~~interwiki~~		{{Interwiki
			\| en = 50/49
	\| de = 50/49		\| de = 50/49
	~~\| en = 50/49~~
	\| es =		\| es =
	\| ja =		\| ja =
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	== Approximations ==		== Approximations ==
	{{~~interval~~ edo approximation\|min_edo=12}}		{{Interval edo approximation\|min_edo=12}}

			== Etymology ==
			The name ''jubilisma'' is likely a reference to the 50-year biblical jubilee cycle.

	== See also ==		== See also ==
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	[[Category:Jubilismic]]		[[Category:Jubilismic]]
	[[Category:Commas ~~with unknown etymology~~]]		[[Category:Commas referencing a famous use of a number]]

FloraC: /* Temperaments */ + links

2026-02-21T12:47:38Z

Temperaments: + links

← Older revision		Revision as of 12:47, 21 February 2026
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. In the full 7-limit, this comma equates [[15/14]] and [[21/20]].		[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the [[2.5.7 subgroup]], this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. In the full 7-limit, this comma further equates [[15/14]] and [[21/20]] and enables all the [[jubilismic chords]].

	''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:		''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:

Squib: /* Temperaments */15/14~21/20

2026-01-25T16:22:58Z

Temperaments: 15/14~21/20

← Older revision		Revision as of 16:22, 25 January 2026
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''.		[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''. In the full 7-limit, this comma equates [[15/14]] and [[21/20]].

	''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:		''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:

Overthink: /* Approximations */ min edo to avoid approximation with unison

2025-11-27T23:14:03Z

Approximations: min edo to avoid approximation with unison

← Older revision		Revision as of 23:14, 27 November 2025
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	== Approximations ==		== Approximations ==
	{{interval edo approximation}}		{{interval edo approximation\|min_edo=12}}

	== See also ==		== See also ==

Pailiaq at 01:45, 27 November 2025

2025-11-27T01:45:23Z

← Older revision		Revision as of 01:45, 27 November 2025
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	Equal temperaments tempering out 50/49 include [[12edo]], [[22edo]], [[26edo]], [[38edo]], [[48edo]], and [[54edo]].		Equal temperaments tempering out 50/49 include [[12edo]], [[22edo]], [[26edo]], [[38edo]], [[48edo]], and [[54edo]].

			== Approximations ==
			{{interval edo approximation}}

	== See also ==		== See also ==

Overthink: added (49/48)/(50/49) = 2401/2400 as a way to equate it with another comma

2025-09-21T18:18:51Z

added (49/48)/(50/49) = 2401/2400 as a way to equate it with another comma

← Older revision		Revision as of 18:18, 21 September 2025
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	* ([[36/35]])/(50/49) = [[126/125]]		* ([[36/35]])/(50/49) = [[126/125]]
	* ([[45/44]])/(50/49) = [[441/440]]		* ([[45/44]])/(50/49) = [[441/440]]
			* ([[49/48]])/(50/49) = [[2401/2400]]
	* (50/49)/([[55/54]]) = [[540/539]]		* (50/49)/([[55/54]]) = [[540/539]]
	* (50/49)/([[56/55]]) = [[1375/1372]]		* (50/49)/([[56/55]]) = [[1375/1372]]

FloraC: Also unify the names

2025-07-22T13:19:38Z

Also unify the names

← Older revision		Revision as of 13:19, 22 July 2025
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	}}		}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = small septimal sixth-tone, (septimal) tritonic diesis, jubilisma		\| Name = small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma
	\| Color name = rryy-2, biruyo negative 2nd,<br>Biruyo comma		\| Color name = rryy-2, biruyo negative 2nd,<br>Biruyo comma
	\| Comma = yes		\| Comma = yes
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	{{Wikipedia\|Septimal third tone #Septimal sixth tone}}		{{Wikipedia\|Septimal third tone #Septimal sixth tone}}

	'''50/49''', the '''small septimal sixth-tone''' (or '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.		'''50/49''', the '''small septimal diesis''' (a.k.a. '''small septimal sixth-tone''' or '''septimal tritonic diesis'''), is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.

	== Temperaments ==		== Temperaments ==

FloraC: Assimilate formatting from 49/48 article

2025-07-22T13:16:58Z

Assimilate formatting from 49/48 article

← Older revision		Revision as of 13:16, 22 July 2025
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	}}		}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~jubilisma,~~ small septimal sixth-tone, (septimal) tritonic diesis		\| Name = small septimal sixth-tone, (septimal) tritonic diesis, jubilisma
	\| Color name = rryy-2, biruyo negative 2nd,<br>Biruyo comma		\| Color name = rryy-2, biruyo negative 2nd,<br>Biruyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	{{Wikipedia\|Septimal third tone#Septimal sixth tone}}		{{Wikipedia\|Septimal third tone #Septimal sixth tone}}

	'''50/49''', the ~~'''jubilisma''' (also~~ '''small septimal sixth-tone''' or '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.		'''50/49''', the '''small septimal sixth-tone''' (or '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.

	It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct, but it ''can'' be equated with other commas; for example:		== Temperaments ==
			[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where [[sqrt(2/1)]] approximates both. In the 2.5.7 subgroup, this is known as the jubilic temperament, and the comma is thus known as the '''jubilisma'''.

			''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', but it ''can'' be equated with other commas; for example:
	* ([[36/35]])/(50/49) = [[126/125]]		* ([[36/35]])/(50/49) = [[126/125]]
	* ([[45/44]])/(50/49) = [[441/440]]		* ([[45/44]])/(50/49) = [[441/440]]
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	* (50/49)/([[81/80]]) = [[4000/3969]]		* (50/49)/([[81/80]]) = [[4000/3969]]

	~~== Temperaments ==~~		See [[Jubilismic family]] for the rank-3 family where it is tempered out, and [[Jubilismic clan]] for the rank-2 clan where it is tempered out.
	~~[[Tempering out]] this comma equates the two septimal tritones (i.e. [[7/5]] and [[10/7]]) with each other, leading to temperaments where the square root of two approximates both.~~ See [[Jubilismic family]] for the rank-3 family where it is tempered out, and [[Jubilismic clan]] for the rank-2 clan where it is tempered out.

	Equal temperaments tempering out 50/49 include [[12edo]], [[22edo]], [[26edo]], [[38edo]], [[48edo]], and [[54edo]].		Equal temperaments tempering out 50/49 include [[12edo]], [[22edo]], [[26edo]], [[38edo]], [[48edo]], and [[54edo]].

ArrowHead294 at 19:11, 16 June 2025

2025-06-16T19:11:32Z

← Older revision		Revision as of 19:11, 16 June 2025
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	'''50/49''', the '''jubilisma''' (also '''small septimal sixth-tone''' or '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.		'''50/49''', the '''jubilisma''' (also '''small septimal sixth-tone''' or '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.

	''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct~~'', however~~, it ''can'' be equated with other commas; for example:		It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct, but it ''can'' be equated with other commas; for example:
	* ([[36/35]])/(50/49) = [[126/125]]		* ([[36/35]])/(50/49) = [[126/125]]
	* ([[45/44]])/(50/49) = [[441/440]]		* ([[45/44]])/(50/49) = [[441/440]]

FloraC: Restore "jubilisma" as the main name

2025-01-01T14:46:44Z

Restore "jubilisma" as the main name

← Older revision		Revision as of 14:46, 1 January 2025
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	{{Wikipedia\|Septimal third tone#Septimal sixth tone}}		{{Wikipedia\|Septimal third tone#Septimal sixth tone}}

	'''50/49''', ~~also known as~~ the '''~~small septimal sixth-tone~~''', '''small septimal ~~diesis~~''', '''septimal tritonic diesis'''~~, or '''jubilisma''',~~ is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two~~. Instead~~, 50/49~~ ~~=~~ ~~([[10/7]])/([[7/5]]).		'''50/49''', the '''jubilisma''' (also '''small septimal sixth-tone''' or '''septimal tritonic diesis''') is a [[7-limit]] [[medium comma]]. It is the only [[superparticular]] [[comma]] in the 7-limit aside from [[126/125]] and [[4375/4374]] which has a numerator which is neither square nor [[triangular number\|triangular]], meaning it is not the difference between septimal superparticular rations with numerators differing by either one or two; instead, {{nowrap\| 50/49 = ([[10/7]])/([[7/5]]) }}.

	It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct, however, it ''can'' be equated with other commas; for example:		''It cannot be tempered out if all of the consonances of the 7-odd-limit are distinct'', however, it ''can'' be equated with other commas; for example:
	* ([[36/35]])/(50/49) = [[126/125]]		* ([[36/35]])/(50/49) = [[126/125]]
	* ([[45/44]])/(50/49) = [[441/440]]		* ([[45/44]])/(50/49) = [[441/440]]