1000/999 - Revision history

FloraC: Cleanup

2026-02-15T13:34:52Z

Cleanup

← Older revision		Revision as of 13:34, 15 February 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 1000/999		\| Ratio = 1000/999
			\| Name = millenisma
	\| Color name = 37uy<sup>3</sup>-2 <br> thisutriyo negative 2nd		\| Color name = 37uy<sup>3</sup>-2 <br> thisutriyo negative 2nd
	\| Comma = yes		\| Comma = yes
	~~\|Name=Millenisma (proposed name)~~}}		}}

	'''1000/999''' is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the intervals [[27/25]] and [[40/37]].		'''1000/999''' is an [[unnoticeable comma\|unnoticeable]] [[37-limit]] [[superparticular interval\|superparticular]] [[comma]] of about 1.73 [[cent]]s. It is the difference between the intervals [[27/25]] and [[40/37]].

	This comma occurs as the difference between certain 5-limit and 37-limit intervals. The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the ~~[[5-limit]]~~ triptolemaic augmented second ([[125/108]]) is approximately 253{{c}}. The difference between these intervals equals 1000/999.		This comma occurs as the difference between certain 5-limit and 37-limit intervals. The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the triptolemaic augmented second ([[125/108]]), equal to a stack of three [[5/3]]'s [[octave reduction\|octave reduced]], is approximately 253{{c}}. The difference between these intervals equals 1000/999.

	This relationship demonstrates how this comma may serve as a bridge between the 5-limit and 37-limit systems, allowing for approximations of 37-limit intervals using more common 5-limit intervals. Its small size of 1.7 cents makes it practically imperceptible.		This relationship demonstrates how this comma may serve as a bridge between the 5-limit and 37-limit systems, allowing for approximations of 37-limit intervals using more common 5-limit intervals. Its small size of 1.7 cents makes it practically imperceptible.

	== Temperaments ==		== Temperaments ==
	1000/999 is tempered out in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].		1000/999 is [[tempering out\|tempered out]] in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].

	== ~~Proposed names~~ ==		== Etymology ==
	[[Francium]] proposed the name '''millenisma''' in 2025, referring to the Latin word for thousand.		[[Francium]] proposed the name '''millenisma''' in 2025, referring to the Latin word for thousand.

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

UnbihexiumFan: 27/25 and 40/37 aren't necessarily commas

2026-02-14T22:26:24Z

27/25 and 40/37 aren't necessarily commas

← Older revision		Revision as of 22:26, 14 February 2026
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	\|Name=Millenisma (proposed name)}}		\|Name=Millenisma (proposed name)}}

	'''1000/999''' is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the ~~commas~~ [[27/25]] and [[40/37]].		'''1000/999''' is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the intervals [[27/25]] and [[40/37]].

	This comma occurs as the difference between certain 5-limit and 37-limit intervals. The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the [[5-limit]] triptolemaic augmented second ([[125/108]]) is approximately 253{{c}}. The difference between these intervals equals 1000/999.		This comma occurs as the difference between certain 5-limit and 37-limit intervals. The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the [[5-limit]] triptolemaic augmented second ([[125/108]]) is approximately 253{{c}}. The difference between these intervals equals 1000/999.

Jdood: Added the name proposed by francium

2025-12-03T17:52:27Z

Added the name proposed by francium

← Older revision		Revision as of 17:52, 3 December 2025
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	\| Color name = 37uy<sup>3</sup>-2 <br> thisutriyo negative 2nd		\| Color name = 37uy<sup>3</sup>-2 <br> thisutriyo negative 2nd
	\| Comma = yes		\| Comma = yes
	}}		\|Name=Millenisma (proposed name)}}

	'''1000/999''' is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].		'''1000/999''' is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].

Xenllium: minor edit

2025-05-11T14:30:16Z

minor edit

← Older revision		Revision as of 14:30, 11 May 2025
Line 5:		Line 5:
	}}		}}

	'''1000/999''', is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].		'''1000/999''' is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].

	This comma occurs as the difference between certain 5-limit and 37-limit intervals.		This comma occurs as the difference between certain 5-limit and 37-limit intervals. The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the [[5-limit]] triptolemaic augmented second ([[125/108]]) is approximately 253{{c}}. The difference between these intervals equals 1000/999.
	The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the [[5-limit]] triptolemaic augmented second ([[125/108]]) is approximately 253{{c}}.
	The difference between these intervals equals 1000/999.		This relationship demonstrates how this comma may serve as a bridge between the 5-limit and 37-limit systems, allowing for approximations of 37-limit intervals using more common 5-limit intervals. Its small size of 1.7 cents makes it practically imperceptible.
	This relationship demonstrates how this comma may serve as a bridge between the 5-limit and 37-limit systems, allowing for approximations of 37-limit intervals using more common 5-limit intervals.
	Its small size of 1.7 cents makes it practically imperceptible.

	== Temperaments ==		== Temperaments ==

Sintel: add some intro

2025-05-11T13:10:53Z

add some intro

← Older revision		Revision as of 13:10, 11 May 2025
Line 6:		Line 6:

	'''1000/999''', is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].		'''1000/999''', is a [[37-limit]] [[superparticular interval\|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].

			This comma occurs as the difference between certain 5-limit and 37-limit intervals.
			The octave-reduced 37th harmonic ([[37/32]]) is a [[semifourth]] about 251{{c}}, while the [[5-limit]] triptolemaic augmented second ([[125/108]]) is approximately 253{{c}}.
			The difference between these intervals equals 1000/999.
			This relationship demonstrates how this comma may serve as a bridge between the 5-limit and 37-limit systems, allowing for approximations of 37-limit intervals using more common 5-limit intervals.
			Its small size of 1.7 cents makes it practically imperceptible.

	== Temperaments ==		== Temperaments ==
	Tempering it out produces the rank-11 '''millenismic''' temperament in the full 37-limit, and the rank-3 '''millenic''' temperament in the 2.3.5.37 [[subgroup]], and enables the [[millenismic chords]].

	1000/999 is tempered out in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].		1000/999 is tempered out in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].

Francium: /* Temperaments */

2025-04-14T14:58:46Z

Temperaments

← Older revision		Revision as of 14:58, 14 April 2025
Line 10:		Line 10:
	Tempering it out produces the rank-11 '''millenismic''' temperament in the full 37-limit, and the rank-3 '''millenic''' temperament in the 2.3.5.37 [[subgroup]], and enables the [[millenismic chords]].		Tempering it out produces the rank-11 '''millenismic''' temperament in the full 37-limit, and the rank-3 '''millenic''' temperament in the 2.3.5.37 [[subgroup]], and enables the [[millenismic chords]].

	1000/999 is ~~also~~ tempered out in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].		1000/999 is tempered out in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].

	== Proposed names ==		== Proposed names ==

Francium: Created page with "{{Infobox Interval | Ratio = 1000/999 | Color name = 37uy³-2
thisutriyo negative 2nd | Comma = yes }} '''1000/999''', is a 37-limit superparticular comma of about 1.7 cents. It is the difference between the commas 27/25 and 40/37. == Temperaments == Tempering it out produces the rank-11 '''millenismic''' temperament in the full 37-limit, and the rank-3 '''millenic''' temperament in the 2.3.5.37 subgroup,..."

2025-04-14T14:58:17Z

Created page with "{{Infobox Interval | Ratio = 1000/999 | Color name = 37uy3-2 thisutriyo negative 2nd | Comma = yes }} '''1000/999''', is a 37-limit superparticular comma of about 1.7 cents. It is the difference between the commas 27/25 and 40/37. == Temperaments == Tempering it out produces the rank-11 '''millenismic''' temperament in the full 37-limit, and the rank-3 '''millenic''' temperament in the 2.3.5.37 subgroup,..."

New page

{{Infobox Interval
| Ratio = 1000/999
| Color name = 37uy3-2 thisutriyo negative 2nd
| Comma = yes
}}

'''1000/999''', is a [[37-limit]] [[superparticular interval|superparticular comma]] of about 1.7 [[cent]]s. It is the difference between the commas [[27/25]] and [[40/37]].

== Temperaments ==
Tempering it out produces the rank-11 '''millenismic''' temperament in the full 37-limit, and the rank-3 '''millenic''' temperament in the 2.3.5.37 [[subgroup]], and enables the [[millenismic chords]].

1000/999 is also tempered out in the no-31's 37-limit extension of the [[superlimmal]] temperament. It is also useful for constructing higher-limit extensions of popular temperaments, such as [[kleismic]] and [[amity]].

== Proposed names ==
[[Francium]] proposed the name '''millenisma''' in 2025, referring to the Latin word for thousand.

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