4459/4455: Difference between revisions

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Fixed name and comma status in infobox (capitalization of field names)
Tristanbay (talk | contribs)
Added a few more EDOs that it's supported by
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'''4459/4455''', the '''tristanisma''', is [[13-limit]] no-twos [[unnoticeable comma]] measuring roughly a [[cent]] and a half. Tempering it out and adding the octave back in yields the rank-5 [[tristanismic]] temperament, which is supported by [[EDO|EDOs]] {{EDOs | 22, 41, 72, 130, 190, 198, 270}}, and [[311edo|311]].
'''4459/4455''', the '''tristanisma''', is [[13-limit]] no-twos [[unnoticeable comma]] measuring roughly a [[cent]] and a half. Tempering it out and adding the octave back in yields the rank-5 [[tristanismic]] temperament, which is supported by [[EDO|EDOs]] including {{EDOs | 9, 12, 22, 27, 41, 72, 130, 190, 198, 270}}, and [[311edo|311]].


== Etymology ==
== Etymology ==
This comma was named by [[User:Tristanbay|Tristan Bay]] in early May 2024 after himself.
This comma was named by [[User:Tristanbay|Tristan Bay]] in early May 2024 after himself.

Revision as of 09:23, 7 May 2024

Interval information
Ratio 4459/4455
Factorization 3-4 × 5-1 × 73 × 11-1 × 13
Monzo [0 -4 -1 3 -1 1
Size in cents 1.553721¢
Name tristanisma
Color name tholutrizo-agu 3rd, 3o1uz3g3,
tholutrizo-agu comma
FJS name [math]\displaystyle{ \text{dd3}^{7,7,7,13}_{5,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 24.2437
Weil norm (log2 max(n, d)) 24.245
Wilson norm (sopfr(nd)) 62
Comma size unnoticeable
Open this interval in xen-calc

4459/4455, the tristanisma, is 13-limit no-twos unnoticeable comma measuring roughly a cent and a half. Tempering it out and adding the octave back in yields the rank-5 tristanismic temperament, which is supported by EDOs including 9, 12, 22, 27, 41, 72, 130, 190, 198, 270, and 311.

Etymology

This comma was named by Tristan Bay in early May 2024 after himself.