14edf: Difference between revisions
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{{ED intro}} | {{ED intro}} | ||
== Theory == | |||
14edf is related to [[24edo]], but with the perfect fifth rather than the [[2/1|octave]] being just, which stretches the octave by about 3.35 cents. The [[patent val]] has a generally sharp tendency for harmonics up to 22, with the exception for [[7/1|7]], [[14/1|14]], and [[21/1|21]]. | |||
=== Harmonics === | |||
{{Harmonics in equal|14|3|2|intervals=integer|columns=11}} | |||
{{Harmonics in equal|14|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 14edf (continued)}} | |||
== | === Subsets and supersets === | ||
Since 14 factors into primes as {{nowrap| 2 × 7 }}, 14edf contains subset edfs [[2edf]] and [[7edf]]. | |||
{{ | |||
== Intervals == | == Intervals == | ||
{{todo|complete table|text= | {{todo|inline=1|complete table|text=Add column with approximated JI ratios and/or notation.}} | ||
{| class="wikitable | |||
{| class="wikitable center-1 right-2" | |||
|- | |- | ||
! | ! # | ||
! Cents | ! Cents | ||
|- | |- | ||
| 0 | | 0 | ||
| 0 | | 0.0 | ||
|- | |- | ||
| 1 | | 1 | ||
| 50. | | 50.1 | ||
|- | |- | ||
| 2 | | 2 | ||
| 100. | | 100.3 | ||
|- | |- | ||
| 3 | | 3 | ||
| 150. | | 150.4 | ||
|- | |- | ||
| 4 | | 4 | ||
| 200. | | 200.6 | ||
|- | |- | ||
| 5 | | 5 | ||
| 250. | | 250.7 | ||
|- | |- | ||
| 6 | | 6 | ||
| 300. | | 300.8 | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 351.0 | ||
|- | |- | ||
| 8 | | 8 | ||
| 401. | | 401.1 | ||
|- | |- | ||
| 9 | | 9 | ||
| 451. | | 451.3 | ||
|- | |- | ||
| 10 | | 10 | ||
| 501. | | 501.4 | ||
|- | |- | ||
| 11 | | 11 | ||
| 551. | | 551.5 | ||
|- | |- | ||
| 12 | | 12 | ||
| 601. | | 601.7 | ||
|- | |- | ||
| 13 | | 13 | ||
| 651. | | 651.8 | ||
|- | |- | ||
| 14 | | 14 | ||
| | | 702.0 | ||
|- | |- | ||
| 15 | | 15 | ||
| 752. | | 752.1 | ||
|- | |- | ||
| 16 | | 16 | ||
| 802. | | 802.2 | ||
|- | |- | ||
| 17 | | 17 | ||
| 852. | | 852.4 | ||
|- | |- | ||
| 18 | | 18 | ||
| 902. | | 902.5 | ||
|- | |- | ||
| 19 | | 19 | ||
| 952. | | 952.7 | ||
|- | |- | ||
| 20 | | 20 | ||
| 1002. | | 1002.8 | ||
|- | |- | ||
| 21 | | 21 | ||
| 1052. | | 1052.9 | ||
|- | |- | ||
| 22 | | 22 | ||
| 1103. | | 1103.1 | ||
|- | |- | ||
| 23 | | 23 | ||
| 1153. | | 1153.2 | ||
|- | |- | ||
| 24 | | 24 | ||
| 1203. | | 1203.4 | ||
|- | |- | ||
| 25 | | 25 | ||
| 1253. | | 1253.5 | ||
|- | |- | ||
| 26 | | 26 | ||
| 1303. | | 1303.6 | ||
|- | |- | ||
| 27 | | 27 | ||
| 1353. | | 1353.8 | ||
|- | |- | ||
| 28 | | 28 | ||
| 1403. | | 1403.9 | ||
|} | |} | ||
== See also == | |||
* [[24edo]] – relative edo | |||
* [[38edt]] – relative edt | |||
* [[56ed5]] – relative ed5 | |||
* [[62ed6]] – relative ed6 | |||
* [[83ed11]] – relative ed11 | |||
* [[86ed12]] – relative ed12 | |||
* [[198ed304]] – close to the zeta-optimized tuning for 24edo | |||
[[Category:24edo]] | |||
[[Category: | |||