4459/4455: Difference between revisions
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Tristanbay (talk | contribs) Fixed link redirect for EDOs and moved the "s" into the link Tags: Mobile edit Mobile web edit |
Abnormality (talk | contribs) m I added the relationship between the tristanisma and 245/243 and 275/273. |
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'''4459/4455''', the '''tristanisma''', is [[13-limit]] no-twos [[unnoticeable comma]] measuring roughly a [[cent]] and a half. It factors into the superparticular ratio pairs ([[2080/2079]])([[2401/2400]]) or ([[1001/1000]])([[9801/9800]]). 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 311}}. | '''4459/4455''', the '''tristanisma''', is [[13-limit]] no-twos [[unnoticeable comma]] measuring roughly a [[cent]] and a half. It is the difference between the [[Odd-particular]]<nowiki/>s [[245/243]] and [[275/273]]. It factors into the superparticular ratio pairs ([[2080/2079]])([[2401/2400]]) or ([[1001/1000]])([[9801/9800]]). 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 311}}. | ||
== Etymology == | == Etymology == | ||
Revision as of 06:13, 19 October 2024
| Interval information |
tholutrizo-agu comma
4459/4455, the tristanisma, is 13-limit no-twos unnoticeable comma measuring roughly a cent and a half. It is the difference between the Odd-particulars 245/243 and 275/273. It factors into the superparticular ratio pairs (2080/2079)(2401/2400) or (1001/1000)(9801/9800). 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.