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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} It is the simplest [[edt]] with a distinct form for each rotation of the [[Anti-Lambda]] scale. It can be seen as [[9edo]] with significantly [[stretched and compressed tuning|stretched]] [[octave]]s (~23{{c}}) and may be used as a tuning for [[Pelog]]. | |||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Degree | ! Degree | ||
! Cents | ! Cents | ||
! | ! [[Hekt]]s | ||
! Notation | ! Notation | ||
|- | |- | ||
| 1 | | 1 | ||
| 135.854 | | 135.854 | ||
|92.857 | | 92.857 | ||
| Cp/D\\ | | Cp/D\\ | ||
|- | |- | ||
| 2 | | 2 | ||
| 271.708 | | 271.708 | ||
|185.714 | | 185.714 | ||
| D | | D | ||
|- | |- | ||
| 3 | | 3 | ||
| 407.562 | | 407.562 | ||
|278.571 | | 278.571 | ||
| E | | E | ||
|- | |- | ||
| 4 | | 4 | ||
| 543.416 | | 543.416 | ||
|371.429 | | 371.429 | ||
| Ep/F\\ | | Ep/F\\ | ||
|- | |- | ||
| 5 | | 5 | ||
| 679.27 | | 679.27 | ||
|464.286 | | 464.286 | ||
| F | | F | ||
|- | |- | ||
| 6 | | 6 | ||
| 815.124 | | 815.124 | ||
|557.143 | | 557.143 | ||
| G | | G | ||
|- | |- | ||
| 7 | | 7 | ||
| 950.978 | | 950.978 | ||
|650 | | 650 | ||
| Gp/H\\ | | Gp/H\\ | ||
|- | |- | ||
| 8 | | 8 | ||
| 1086.831 | | 1086.831 | ||
|742.857 | | 742.857 | ||
| H | | H | ||
|- | |- | ||
| 9 | | 9 | ||
| 1222.685 | | 1222.685 | ||
|835.714 | | 835.714 | ||
| J | | J | ||
|- | |- | ||
| 10 | | 10 | ||
| 1358.539 | | 1358.539 | ||
|928.571 | | 928.571 | ||
| Jp/A\\ | | Jp/A\\ | ||
|- | |- | ||
| 11 | | 11 | ||
| 1494.393 | | 1494.393 | ||
|1021.429 | | 1021.429 | ||
| A | | A | ||
|- | |- | ||
| 12 | | 12 | ||
| 1630.247 | | 1630.247 | ||
|1114.286 | | 1114.286 | ||
| Ap/B\\ | | Ap/B\\ | ||
|- | |- | ||
| 13 | | 13 | ||
| 1766.101 | | 1766.101 | ||
|1207.143 | | 1207.143 | ||
| B | | B | ||
|- | |- | ||
| 14 | | 14 | ||
| 1901.955 | | 1901.955 | ||
|1300 | | 1300 | ||
| C | | C | ||
|} | |} | ||
Revision as of 19:03, 14 February 2025
| ← 13edt | 14edt | 15edt → |
14 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 14edt or 14ed3), is a nonoctave tuning system that divides the interval of 3/1 into 14 equal parts of about 136 ¢ each. Each step represents a frequency ratio of 31/14, or the 14th root of 3. It is the simplest edt with a distinct form for each rotation of the Anti-Lambda scale. It can be seen as 9edo with significantly stretched octaves (~23 ¢) and may be used as a tuning for Pelog.
Intervals
| Degree | Cents | Hekts | Notation |
|---|---|---|---|
| 1 | 135.854 | 92.857 | Cp/D\\ |
| 2 | 271.708 | 185.714 | D |
| 3 | 407.562 | 278.571 | E |
| 4 | 543.416 | 371.429 | Ep/F\\ |
| 5 | 679.27 | 464.286 | F |
| 6 | 815.124 | 557.143 | G |
| 7 | 950.978 | 650 | Gp/H\\ |
| 8 | 1086.831 | 742.857 | H |
| 9 | 1222.685 | 835.714 | J |
| 10 | 1358.539 | 928.571 | Jp/A\\ |
| 11 | 1494.393 | 1021.429 | A |
| 12 | 1630.247 | 1114.286 | Ap/B\\ |
| 13 | 1766.101 | 1207.143 | B |
| 14 | 1901.955 | 1300 | C |
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +22.7 | +0.0 | +66.6 | +27.5 | +60.2 | +42.7 | -14.2 | +64.9 | +5.9 | +12.1 | +32.5 |
| Relative (%) | +16.7 | +0.0 | +49.0 | +20.3 | +44.3 | +31.4 | -10.5 | +47.8 | +4.3 | +8.9 | +24.0 | |
| Steps (reduced) |
9 (9) |
14 (0) |
21 (7) |
25 (11) |
31 (3) |
33 (5) |
36 (8) |
38 (10) |
40 (12) |
43 (1) |
44 (2) | |