14edf: Difference between revisions
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-irrelevant shit |
m stub mbox, add harmonics, make table collapsible, todo|complete table |
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Lookalikes: [[24edo]], [[38edt]] | Lookalikes: [[24edo]], [[38edt]] | ||
==Harmonics== | |||
{{Harmonics in equal|14|3|2|intervals=prime}} | |||
{{Harmonics in equal|14|3|2|start=12|collapsed=1|intervals=prime}} | |||
==Intervals== | ==Intervals== | ||
{| class="wikitable" | {{todo|complete table|add column with note names, JI approximations and/or comments on practical uses}} | ||
|+ | {| class="wikitable mw-collapsible" | ||
|+ Intervals of 14edf | |||
!Degree | !Degree | ||
! | !Cents | ||
|- | |- | ||
|0 | |0 | ||
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|1403.91 | |1403.91 | ||
|} | |} | ||
{{stub}} | |||
Revision as of 03:23, 21 December 2024
| ← 13edf | 14edf | 15edf → |
Division of the just perfect fifth into 14 equal parts (14EDF) is related to 24 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 50.1396 cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.4 | +3.4 | +21.5 | -9.5 | +10.3 | +21.9 | +8.7 | +16.7 | -13.2 | -13.4 | +21.6 |
| Relative (%) | +6.7 | +6.7 | +42.9 | -18.9 | +20.5 | +43.7 | +17.4 | +33.4 | -26.3 | -26.7 | +43.0 | |
| Steps (reduced) |
24 (10) |
38 (10) |
56 (0) |
67 (11) |
83 (13) |
89 (5) |
98 (0) |
102 (4) |
108 (10) |
116 (4) |
119 (7) | |
| Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +16.1 | -11.2 | +6.6 | +3.1 | -4.4 | +10.5 | +2.9 | -9.1 | -9.2 | -7.1 | +6.5 |
| Relative (%) | +32.1 | -22.3 | +13.2 | +6.1 | -8.7 | +21.0 | +5.9 | -18.1 | -18.3 | -14.2 | +13.1 | |
| Steps (reduced) |
125 (13) |
128 (2) |
130 (4) |
133 (7) |
137 (11) |
141 (1) |
142 (2) |
145 (5) |
147 (7) |
148 (8) |
151 (11) | |
Intervals
| Degree | Cents |
|---|---|
| 0 | 0 |
| 1 | 50.1396 |
| 2 | 100.2793 |
| 3 | 150.4189 |
| 4 | 200.5586 |
| 5 | 250.6982 |
| 6 | 300.8379 |
| 7 | 350.9775 |
| 8 | 401.1171 |
| 9 | 451.2568 |
| 10 | 501.3964 |
| 11 | 551.536 |
| 12 | 601.6757 |
| 13 | 651.8154 |
| 14 | 701.955 |
| 15 | 752.0946 |
| 16 | 802.2343 |
| 17 | 852.3739 |
| 18 | 902.5136 |
| 19 | 952.6532 |
| 20 | 1002.7929 |
| 21 | 1052.9235 |
| 22 | 1103.0721 |
| 23 | 1153.2118 |
| 24 | 1203.3514 |
| 25 | 1253.4911 |
| 26 | 1303.6307 |
| 27 | 1353.7704 |
| 28 | 1403.91 |
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