1000/999: Difference between revisions
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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]]. | ||
Revision as of 17:52, 3 December 2025
| Interval information |
thisutriyo negative 2nd
reduced
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.
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 ¢, while the 5-limit triptolemaic augmented second (125/108) is approximately 253 ¢. 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.
Proposed names
Francium proposed the name millenisma in 2025, referring to the Latin word for thousand.