73edt: Difference between revisions
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'''[[Edt|Division of the third harmonic]] into 73 equal parts''' (73EDT) is related to [[46edo|46 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 1.5078 cents compressed and the step size is about 26.0542 cents. It is consistent to the [[17-odd-limit|18-integer-limit]]. In comparison, 46edo is only consistent up to the [[13-odd-limit|14-integer-limit]]. | '''[[Edt|Division of the third harmonic]] into 73 equal parts''' (73EDT) is related to [[46edo|46 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 1.5078 cents compressed and the step size is about 26.0542 cents. It is consistent to the [[17-odd-limit|18-integer-limit]]. In comparison, 46edo is only consistent up to the [[13-odd-limit|14-integer-limit]]. | ||
== | ==Harmonics== | ||
{{Harmonics in equal | |||
| steps = 73 | |||
| num = 3 | |||
| denom = 1 | |||
| intervals = integer | |||
}} | |||
{{Harmonics in equal | |||
| steps = 73 | |||
| num = 3 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = integer | |||
}} | |||
==Intervals== | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
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EDOs: {{EDOs|46, 737, 783, 829, 875}} | EDOs: {{EDOs|46, 737, 783, 829, 875}} | ||
[[ | == Music == | ||
[[ | ; [[Ray Perlner]] | ||
* [https://www.youtube.com/watch?v=N7inULohKQI ''Fugue for that other kind of string quartet in 73EDT BPS<nowiki>[</nowiki>9<nowiki>]</nowiki> (Sensi Extension) in LsLssLsLs "Moll I"''] (2024) | |||