1000/999: Difference between revisions

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{{Infobox Interval

| Ratio = 1000/999

| Name = millenisma

| Color name = 37uy<sup>3</sup>-2 <br> thisutriyo negative 2nd

| 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.

== 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.

== See also ==

* [[Unnoticeable comma]]

* [[List of superparticular intervals]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 1000/999
+| Name = millenisma
 | Color name = 37uy<sup>3</sup>-2 <br> thisutriyo negative 2nd
 | 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.
 == Temperaments ==
-/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]].
+/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.
 == See also ==
-* [[Unnoticeable comma]]
 * [[List of superparticular intervals]]