2500/2499 - Revision history

FloraC: Update data

2026-03-29T07:49:42Z

Update data

@@ Line 26: / Line 26: @@
 == Temperaments ==
 Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic''' temperament, or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric''' temperament. You may find a list of good equal temperaments that support these temperaments below.
 === Sperasmic ===
@@ Line 47: / Line 61: @@
 : mapping generators: ~2, ~3, ~5, ~7, ~11, ~13
-[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.9677{{c}}, ~5/4 = 386.2047{{c}}, ~7/4 - 968.9056{{c}}, ~11/8, ~13/8
+[[Optimal tuning]]s:
 {{Optimal ET sequence|legend=1| 19, 24d, 27eg, 29g, 31, 41g, 43, 53g, 58g, 60e, 68, 72, 103, 111, 140, 171, 183, 239f, 243e, 270, 311, 354, 414, 422, 494, 581, 764, 935, 1075, 1106, 1178, 1672, 1942, 2113, 2253, 2535, 2805g, 3299d, 3713, 3983g, 4477 }}
-=== Speric ===
+[[Badness]] (Sintel): 1.13
 == Etymology ==

FloraC: Improve intro & misc. cleanup

2026-03-29T07:45:10Z

Improve intro & misc. cleanup

← Older revision		Revision as of 07:45, 29 March 2026
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	~~The~~ '''sperasma''' is ~~the~~ [[17-limit]] [[superparticular]] [[comma]] with a ~~ratio~~ of ~~'''2500/2499'''~~. Among other things, it ~~equates a stack~~ of ~~two~~ [[25/21]]~~s with a~~ [[17/12]].		'''2500/2499''', the '''sperasma''', is an [[unnoticeable comma\|unnoticeable]] [[17-limit]] [[superparticular]] [[comma]] with a size of about 0.693 [[cent]]s. Among other things, it is the difference between the small septimal sixth-tone of [[50/49]] and the large septendecimal sixth-tone of [[51/50]]. It also represents the little gap between [[17/12]] and a stack of two [[25/21]]'s.

	== Commatic relations ==		== Commatic relations ==
	This comma is the difference between the following superparticular pairs:		This comma is the difference between the following superparticular pairs:
	* [[50/49]] and [[51/50]]
	* [[120/119]] and [[126/125]]		* [[120/119]] and [[126/125]]
	* [[375/374]] and [[441/440]]		* [[375/374]] and [[441/440]]
Line 26:		Line 25:

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic ~~temperament~~''', or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric ~~temperament~~'''. You may find a list of good equal temperaments that support these temperaments below.		Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic''' temperament, or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric''' temperament. You may find a list of good equal temperaments that support these temperaments below.

	=== Sperasmic ===		=== Sperasmic ===
Line 46:		Line 45:
	\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| ]]		\| ⟨ \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 0 \|\| 1 \|\| 0 \|\| ]]
	\|}		\|}

	: mapping generators: ~2, ~3, ~5, ~7, ~11, ~13		: mapping generators: ~2, ~3, ~5, ~7, ~11, ~13

	[[Optimal tuning]] ([[CTE]]): ~2 = ~~1\1~~, ~3/2 = 701.9677, ~5/4 = 386.2047, ~7/4 - 968.9056, ~11/8, ~13/8		[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.9677{{c}}, ~5/4 = 386.2047{{c}}, ~7/4 - 968.9056{{c}}, ~11/8, ~13/8

	{{Optimal ET sequence\|legend=1\| 19, 24d, 27eg, 29g, 31, 41g, 43, 53g, 58g, 60e, 68, 72, 103, 111, 140, 171, 183, 239f, 243e, 270, 311, 354, 414, 422, 494, 581, 764, 935, 1075, 1106, 1178, 1672, 1942, 2113, 2253, 2535, 2805g, 3299d, 3713, 3983g, 4477 }}		{{Optimal ET sequence\|legend=1\| 19, 24d, 27eg, 29g, 31, 41g, 43, 53g, 58g, 60e, 68, 72, 103, 111, 140, 171, 183, 239f, 243e, 270, 311, 354, 414, 422, 494, 581, 764, 935, 1075, 1106, 1178, 1672, 1942, 2113, 2253, 2535, 2805g, 3299d, 3713, 3983g, 4477 }}
Line 57:		Line 55:

	{{Mapping\|legend=2\| 1 0 0 0 2 \| 0 1 0 0 -1 \| 0 0 1 0 4 \| 0 0 0 1 -2 }}		{{Mapping\|legend=2\| 1 0 0 0 2 \| 0 1 0 0 -1 \| 0 0 1 0 4 \| 0 0 0 1 -2 }}
			: mapping generators: ~2, ~3, ~5, ~7

	~~: sval mapping generators: ~2, ~3, ~5, ~7~~		[[Optimal tuning]] ([[CTE]]): ~2 = 1200.0000{{c}}, ~3/2 = 701.9677{{c}}, ~5/4 = 386.2047{{c}}, ~7/4 = 968.9056{{c}}

	[[Optimal tuning]] ([[CTE]]): ~2 = ~~1\1~~, ~3/2 = 701.9677, ~5/4 = 386.2047, ~7/4 - 968.9056

	{{Optimal ET sequence\|legend=1\| 19, 27g, 31, 41g, 56, 60, 68, 72, 99, 171, 494, 525, 581, 593, 665, 764, 836, 935, 1771, 1942, 2706, 2877, 4477, 4648 }}		{{Optimal ET sequence\|legend=1\| 19, 27g, 31, 41g, 56, 60, 68, 72, 99, 171, 494, 525, 581, 593, 665, 764, 836, 935, 1771, 1942, 2706, 2877, 4477, 4648 }}
Line 68:		Line 65:

	== See also ==		== See also ==
	* [[Unnoticeable comma]]
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

Line 74:		Line 70:
	<references/>		<references/>

			[[Category:Sperasmic]]
	[[Category:Commas named by translating something into another language]]		[[Category:Commas named by translating something into another language]]

BudjarnLambeth at 02:01, 16 November 2024

2024-11-16T02:01:09Z

← Older revision		Revision as of 02:01, 16 November 2024
Line 73:		Line 73:
	== References ==		== References ==
	<references/>		<references/>

			[[Category:Commas named by translating something into another language]]

Jerdle at 20:11, 7 November 2024

2024-11-07T20:11:36Z

← Older revision		Revision as of 20:11, 7 November 2024
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''.		The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. Among other things, it equates a stack of two [[25/21]]s with a [[17/12]].

	== Commatic relations ==		== Commatic relations ==

Francium: Added color name

2023-09-07T15:50:23Z

Added color name

← Older revision		Revision as of 15:50, 7 September 2023
Line 1:		Line 1:
	{{Infobox Interval		{{Infobox Interval
	\| Name = sperasma		\| Name = sperasma
	\| Color name =		\| Color name = 17urry<sup>4</sup>-3, subiruyoyo negative 3rd
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: /* Temperaments */ +data

2023-08-14T05:38:10Z

Temperaments: +data

@@ Line 26: / Line 26: @@
 == Temperaments ==
-Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic temperament''', or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric temperament'''.
+Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic temperament''', or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric temperament'''. You may find a list of good equal temperaments that support these temperaments below.
 == Etymology ==

FloraC: +temperaments

2023-02-17T08:12:40Z

+temperaments

← Older revision		Revision as of 08:12, 17 February 2023
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. ~~Its name comes from the Latin verb "spērāre" meaning "to hope" or "to fear" (meaning "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>).~~		The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''.

	== Commatic relations ==		== Commatic relations ==
Line 24:		Line 24:
	* [[4375/4374]] and [[5832/5831]]		* [[4375/4374]] and [[5832/5831]]
	* [[3025/3024]] and [[14400/14399]]		* [[3025/3024]] and [[14400/14399]]

			== Temperaments ==
			Tempering out this comma in the 17-limit results in the rank-6 '''sperasmic temperament''', or in the the 2.3.5.7.17 subgroup, the rank-4 '''speric temperament'''.

			== Etymology ==
			The sperasma was named by [[Aura]] in 2023. It comes from the Latin verb "spērāre" meaning "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>.

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

FloraC: +commatic relations

2023-02-17T07:21:29Z

+commatic relations

@@ Line 5: / Line 5: @@
 }}
 The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''.  Its name comes from the Latin verb "spērāre" meaning "to hope" or "to fear" (meaning  "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>).
 == See also ==

Aura at 23:59, 15 February 2023

2023-02-15T23:59:00Z

← Older revision		Revision as of 23:59, 15 February 2023
Line 4:		Line 4:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. Its name comes from the Latin "spērāre" meaning "to hope" or "to fear" (meaning "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>).		The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. Its name comes from the Latin verb "spērāre" meaning "to hope" or "to fear" (meaning "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>).

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

Aura: Created page with "{{Infobox Interval | Name = sperasma | Color name = | Comma = yes }} The '''sperasma''' is the 17-limit superparticular comma with a ratio of '''2500/2499'''. Its..."

2023-02-15T23:58:37Z

Created page with "{{Infobox Interval | Name = sperasma | Color name = | Comma = yes }} The '''sperasma''' is the 17-limit superparticular comma with a ratio of '''2500/2499'''. Its..."

New page

{{Infobox Interval
| Name = sperasma
| Color name =
| Comma = yes
}}
The '''sperasma''' is the [[17-limit]] [[superparticular]] [[comma]] with a ratio of '''2500/2499'''. Its name comes from the Latin "spērāre" meaning "to hope" or "to fear" (meaning "to hope" or "to fear"<ref>[[Wiktionary: spero #Latin]]</ref>).

== See also ==
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]

== References ==
<references/>