30edt: Difference between revisions
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Because 19edo has the 3rd, 5th, 7th, and 13th harmonics all flat (the latter two very flat), it benefits greatly from octave stretching. 30edt is one possible alternative; at the cost of sharpening the octave, it achieves much better matches to the odd harmonics; the 3 is by definition just, the 5 slightly sharp, and the 7 and 13 slightly flat. | Because 19edo has the 3rd, 5th, 7th, and 13th harmonics all flat (the latter two very flat), it benefits greatly from octave stretching. 30edt is one possible alternative; at the cost of sharpening the octave, it achieves much better matches to the odd harmonics; the 3 is by definition just, the 5 slightly sharp, and the 7 and 13 slightly flat. | ||
===<span style="font-size: 1.4em;">Intervals of 30edt</span>=== | ===<span style="font-size: 1.4em;">Intervals of 30edt</span>=== | ||
| Line 52: | Line 50: | ||
| | 443.7895 | | | 443.7895 | ||
| | 9/7 | | | 9/7 | ||
| | E#/ | | | E#/Fbb | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | 507.188 | | | 507.188 | ||
| | [[4/3|4/3]] | | | [[4/3|4/3]] | ||
| | | | | Ex/Fb | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 570.5865 | | | 570.5865 | ||
| | 7/5 | | | 7/5 | ||
| | F | | | F | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | 633.985 | | | 633.985 | ||
| | [[13/9|13/9]] | | | [[13/9|13/9]] | ||
| | | | | F#/Gb | ||
|- | |- | ||
| | 11 | | | 11 | ||
| Line 107: | Line 105: | ||
| | 1141.173 | | | 1141.173 | ||
| | <span style="color: #660000;">[[27/14|27/14]]</span> | | | <span style="color: #660000;">[[27/14|27/14]]</span> | ||
| | J#/ | | | J#/Kbb | ||
|- | |- | ||
| | 19 | | | 19 | ||
| | 1204.5715 | | | 1204.5715 | ||
| | 2/1 | | | 2/1 | ||
| | | | | Jx/Kb | ||
|- | |- | ||
| | 20 | | | 20 | ||
| | 1267.970 | | | 1267.970 | ||
| | [[27/13|27/13]] | | | [[27/13|27/13]] | ||
| | K | | | K | ||
|- | |- | ||
| | 21 | | | 21 | ||
| | 1331.3685 | | | 1331.3685 | ||
| | 28/13 | | | 28/13 | ||
| | | | | K#/Lb | ||
|- | |- | ||
| | 22 | | | 22 | ||
| Line 147: | Line 145: | ||
| | 1648.361 | | | 1648.361 | ||
| | [[13/5|13/5]] ([[13/10|13/10]] plus an octave) | | | [[13/5|13/5]] ([[13/10|13/10]] plus an octave) | ||
| | A#/ | | | A#/Bbb | ||
|- | |- | ||
| | 27 | | | 27 | ||
| | 1711.7595 | | | 1711.7595 | ||
| | 8/3 | | | 8/3 | ||
| | | | | Ax/Bb | ||
|- | |- | ||
| | 28 | | | 28 | ||
| | 1775.158 | | | 1775.158 | ||
| | [[14/5|14/5]] ([[7/5|7/5]] plus an octave) | | | [[14/5|14/5]] ([[7/5|7/5]] plus an octave) | ||
| | B | | | B | ||
|- | |- | ||
| | 29 | | | 29 | ||
| | 1838.5565 | | | 1838.5565 | ||
| | 26/9 | | | 26/9 | ||
| | | | | B#/Cb | ||
|- | |- | ||
| | 30 | | | 30 | ||
| Line 174: | Line 172: | ||
30edt also contains all the MOS contained in 15edt, being the double of this equal division. Being even, 30edt introduces | 30edt also contains all the MOS contained in 15edt, being the double of this equal division. Being even, 30edt introduces | ||
MOS with an even number of periods per tritave such as a 6L 6s similar to Hexe Dodecatonic. This MOS has a period of 1/6 of the tritave and the generator is a single or double step. The major scale is sLsLsLsLsLsL, and the minor scale is LsLsLsLsLsLs. Being a "real" 3/2, the interval of 11 degrees generates an unfair Sigma scale of 8L 3s and the major scale is | MOS with an even number of periods per tritave such as a 6L 6s similar to Hexe Dodecatonic. This MOS has a period of 1/6 of the tritave and the generator is a single or double step. The major scale is sLsLsLsLsLsL, and the minor scale is LsLsLsLsLsLs. Being a "real" 3/2, the interval of 11 degrees generates an unfair Sigma scale of 8L 3s and the major scale is LLLsLLLsLLs. The sharp 9/7 of 7 degrees, in addition to generating a Lambda MOS will generate a 4L 9s unfair Superlambda MOS which does not border on being atonal as the 17edt rendition does. | ||
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==='''Compositions in 30edt'''=== | ==='''Compositions in 30edt'''=== | ||
<ul><li>"[https://soundcloud.com/mason-l-green/room-full-of-steam Room Full Of Steam]", Mason Green. In the key of "Eb subminor".</li></ul> [[Category:edt]] | <ul><li>"[https://soundcloud.com/mason-l-green/room-full-of-steam Room Full Of Steam]", Mason Green. In the key of "Eb subminor".</li></ul> | ||
[[Category:edt]] | |||
[[Category:listen]] | [[Category:listen]] | ||