625/616: Difference between revisions

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All of this was inspired by an AI generated picture of ''xenharmonic music theory'' featuring something that looks like the word ''XEIMTIONC''.
All of this was inspired by an AI generated picture of ''xenharmonic music theory'' featuring something that looks like the word ''XEIMTIONC''.
[[File:Xeimtionic.png|thumb|AI generated image of xenharmonic music theory.]]
[[File:Xeimtionic.png|thumb|AI generated image of xenharmonic music theory.]]
[[Category:Small commas]]
[[Category:11-limit]]
[[Category:Rational intervals]]

Revision as of 07:19, 12 August 2022

Interval information
Ratio 625/616
Factorization 2-3 × 54 × 7-1 × 11-1
Monzo [-3 0 4 -1 -1
Size in cents 25.11101¢
Name Xeimtionic comma
FJS name [math]\displaystyle{ \text{dd}{-2}^{5,5,5,5}_{7,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.5545
Weil norm (log2 max(n, d)) 18.5754
Wilson norm (sopfr(nd)) 44
Open this interval in xen-calc

The xeimtionic comma (pronounced zeem-tee-onic) was discovered by Lumi Pakkanen and Praveen Venkataramana when prompted to create a temperament that produces a 6L 5s MOS pattern so that the pattern could be named xeimtonic.

It defines the xeimtionic temperament. When paired with the frostma 245/242 it produces the desired 6L 5s MOS pattern.

All of this was inspired by an AI generated picture of xenharmonic music theory featuring something that looks like the word XEIMTIONC.

AI generated image of xenharmonic music theory.