73edt: Difference between revisions
Cmloegcmluin (talk | contribs) →Related regular temperament: map → mapping |
→Music: Add Ray Perlner's ''<nowiki>Fugue in 73EDT Mintaka[7] macro-Aeolian for Percussion + Clarinet</nowiki>'' (2025); fix formatting of previous entries |
||
| (9 intermediate revisions by 6 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | |||
'''[[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" | ||
|- | |- | ||
| Line 463: | Line 480: | ||
Mapping: [<1 0 -1|, <0 73 153|] | Mapping: [<1 0 -1|, <0 73 153|] | ||
EDOs: 46, 737, 783, 829, 875, 1612, 2395, 2441, 3128, 4007, 5573, 6402 | EDOs: {{EDOs|46, 737, 783, 829, 875, 1612, 2395, 2441, 3128, 4007, 5573, 6402}} | ||
===7-limit 46&783=== | ===7-limit 46&783=== | ||
| Line 472: | Line 489: | ||
Mapping: [<1 0 -1 5|, <0 73 153 -101|] | Mapping: [<1 0 -1 5|, <0 73 153 -101|] | ||
EDOs: 46, 691, 737, 783, 829, 1520, 1612 | EDOs: {{EDOs|46, 691, 737, 783, 829, 1520, 1612}} | ||
===11-limit 46&783=== | ===11-limit 46&783=== | ||
| Line 481: | Line 498: | ||
Mapping: [<1 0 -1 5 6|, <0 73 153 -101 -117|] | Mapping: [<1 0 -1 5 6|, <0 73 153 -101 -117|] | ||
EDOs: 46, 737, 783, 829, 875 | EDOs: {{EDOs|46, 737, 783, 829, 875}} | ||
[[ | == Music == | ||
[[ | ; [[Ray Perlner]] | ||
* [https://www.youtube.com/watch?v=N7inULohKQI ''<nowiki>Fugue for that other kind of string quartet in 73EDT BPS[9] (Sensi Extension) in LsLssLsLs "Moll I"</nowiki>''] (2024) | |||
* [https://www.youtube.com/watch?v=J4j790_3UwQ ''<nowiki>Fugue for Wind Ensemble in 73EDT Mintaka[7] LLsLLsL "Macro-Mixolydian"</nowiki>''] (2025) | |||
* [https://www.youtube.com/watch?v=s4oiRLigwZg ''<nowiki>Fugue in 73EDT Mintaka[7] macro-Aeolian for Percussion + Clarinet</nowiki>''] (2025) | |||