33edo: Difference between revisions
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| Line 45: | Line 45: | ||
| [[48/47]] | | [[48/47]] | ||
| 36.448 | | 36.448 | ||
| | | −0.085 | ||
| Augmented Unison | | Augmented Unison | ||
| A1 | | A1 | ||
| Line 54: | Line 54: | ||
| [[24/23]] | | [[24/23]] | ||
| 73.681 | | 73.681 | ||
| | | −0.953 | ||
| Double-aug 1sn | | Double-aug 1sn | ||
| AA1 | | AA1 | ||
| Line 63: | Line 63: | ||
| [[16/15]] | | [[16/15]] | ||
| 111.731 | | 111.731 | ||
| | | −2.640 | ||
| Diminished 2nd | | Diminished 2nd | ||
| d2 | | d2 | ||
| Line 72: | Line 72: | ||
| [[12/11]] | | [[12/11]] | ||
| 150.637 | | 150.637 | ||
| | | −5.183 | ||
| Minor 2nd | | Minor 2nd | ||
| m2 | | m2 | ||
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| [[10/9]] | | [[10/9]] | ||
| 182.404 | | 182.404 | ||
| | | −0.586 | ||
| Major 2nd | | Major 2nd | ||
| M2 | | M2 | ||
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| [[11/8]] | | [[11/8]] | ||
| 551.318 | | 551.318 | ||
| | | −5.863 | ||
| Augmented 4th | | Augmented 4th | ||
| A4 | | A4 | ||
| Line 180: | Line 180: | ||
| [[7/5]] | | [[7/5]] | ||
| 582.513 | | 582.513 | ||
| | | −0.694 | ||
| Double-aug 4th | | Double-aug 4th | ||
| AA4 | | AA4 | ||
| Line 207: | Line 207: | ||
| [[3/2]] | | [[3/2]] | ||
| 701.9550 | | 701.9550 | ||
| | | −11.046 | ||
| Perfect 5th | | Perfect 5th | ||
| P5 | | P5 | ||
| Line 225: | Line 225: | ||
| [[14/9]] | | [[14/9]] | ||
| 764.9159 | | 764.9159 | ||
| | | −1.280 | ||
| Double-aug 5th | | Double-aug 5th | ||
| AA5 | | AA5 | ||
| Line 234: | Line 234: | ||
| [[8/5]] | | [[8/5]] | ||
| 813.686 | | 813.686 | ||
| | | −13.686 | ||
| Double-dim 6th | | Double-dim 6th | ||
| d6 | | d6 | ||
| Line 243: | Line 243: | ||
| [[13/8]] | | [[13/8]] | ||
| 840.5276 | | 840.5276 | ||
| | | −4.164 | ||
| Minor 6th | | Minor 6th | ||
| m6 | | m6 | ||
| Line 252: | Line 252: | ||
| [[5/3]] | | [[5/3]] | ||
| 884.359 | | 884.359 | ||
| | | −11.631 | ||
| Major 6th | | Major 6th | ||
| M6 | | M6 | ||
| Line 261: | Line 261: | ||
| [[22/13]] | | [[22/13]] | ||
| 910.7903 | | 910.7903 | ||
| | | −1.699 | ||
| Augmented 6th | | Augmented 6th | ||
| A6 | | A6 | ||
| Line 279: | Line 279: | ||
| [[30/17]] | | [[30/17]] | ||
| 983.313 | | 983.313 | ||
| | | −1.495 | ||
| Diminished 7th | | Diminished 7th | ||
| d7 | | d7 | ||
| Line 315: | Line 315: | ||
| [[23/12]] | | [[23/12]] | ||
| 1126.319 | | 1126.319 | ||
| | | −0.953 | ||
| Double-dim 8ve | | Double-dim 8ve | ||
| dd8 | | dd8 | ||
| Line 356: | Line 356: | ||
default [[File:33-EDO_Sagittal.svg]] | default [[File:33-EDO_Sagittal.svg]] | ||
</imagemap> | </imagemap> | ||
== Approximation to JI == | |||
{{Q-odd-limit intervals}} | |||
{{Q-odd-limit intervals|32.9|apx=val|header=none|tag=none|title=15-odd-limit intervals by 33cd val mapping}} | |||
== Nearby equal temperaments == | == Nearby equal temperaments == | ||
| Line 1,396: | Line 1,400: | ||
=== Modern renderings === | === Modern renderings === | ||
; {{W|Johann Sebastian Bach}} | ; {{W|Johann Sebastian Bach}} | ||
* [https://www.youtube.com/watch?v=IhR9oFt5zx4 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] ( | * [https://www.youtube.com/watch?v=IhR9oFt5zx4 "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
* [https://www.youtube.com/watch?v=ynPQPm_ekos "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] ( | * [https://www.youtube.com/watch?v=ynPQPm_ekos "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) – rendered by Claudi Meneghin (2024) | ||
=== 21st century === | === 21st century === | ||
| Line 1,407: | Line 1,411: | ||
; [[Budjarn Lambeth]] | ; [[Budjarn Lambeth]] | ||
* [https://youtu.be/scCuGXnj5IY ''Music in 33EDO (33-Tone Equal Temperament) | * [https://youtu.be/scCuGXnj5IY ''Music in 33EDO (33-Tone Equal Temperament) – Feb 2024''] (2024) | ||
; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* [https://www.youtube.com/watch?v=REkrbdesbLo ''Rising Canon on a Ground'', for Baroque Oboe, Bassoon, Violone] (2024) | * [https://www.youtube.com/watch?v=REkrbdesbLo ''Rising Canon on a Ground'', for Baroque Oboe, Bassoon, Violone] (2024) – ([https://www.youtube.com/watch?v=4fhcNPjFv14 for Organ]) | ||
* [https://www.youtube.com/watch?v=pkYN8SX6luY ''Lytel Twyelyghte Musicke (Little Twilight Music)'', for Brass and Timpani] (2024) | * [https://www.youtube.com/watch?v=pkYN8SX6luY ''Lytel Twyelyghte Musicke (Little Twilight Music)'', for Brass and Timpani] (2024) | ||