73edt: Difference between revisions

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+{{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]].
-==Interval==
+==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"
 |-
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 ! | comments
 |-
-| | 0
+! colspan="3" | 0
-|  colspan="2"| 0
 | | '''exact [[1/1]]'''
 | |
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 |}
-==Related regular temperament==
+==Related regular temperaments==
 edt is also related to the microtemperament which tempers out |73 -153 73&gt; in the 5-limit, which is supported by 46, 783, 829, 1612, 2395, 3128, and 4007 EDOs.
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 POTE generator: ~|21 -44 21&gt; = 26.0543
-Map: [&lt;1 0 -1|, &lt;0 73 153|]
+Mapping: [&lt;1 0 -1|, &lt;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&amp;783===
@@ Line 471: / Line 487: @@
 POTE generator: ~335544320/330812181 = 26.0533
-Map: [&lt;1 0 -1 5|, &lt;0 73 153 -101|]
+Mapping: [&lt;1 0 -1 5|, &lt;0 73 153 -101|]
-EDOs: 46, 691, 737, 783, 829, 1520, 1612
+EDOs: {{EDOs|46, 691, 737, 783, 829, 1520, 1612}}
 ===11-limit 46&amp;783===
@@ Line 480: / Line 496: @@
 POTE generator: ~3072/3025 = 26.0542
-Map: [&lt;1 0 -1 5 6|, &lt;0 73 153 -101 -117|]
+Mapping: [&lt;1 0 -1 5 6|, &lt;0 73 153 -101 -117|]
-EDOs: 46, 737, 783, 829, 875
+EDOs: {{EDOs|46, 737, 783, 829, 875}}
-[[Category:Edt]]
+== Music ==
-[[Category:Edonoi]]
+; [[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)