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{{Infobox ET}} | {{Infobox ET}} | ||
{{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 == | |||
{{todo|inline=1|complete table|text=Add column with approximated JI ratios and/or notation.}} | |||
{| class="wikitable center-1 right-2" | |||
|- | |- | ||
! # | |||
! Cents | |||
|- | |- | ||
| | | 0 | ||
| | | 0.0 | ||
|- | |- | ||
| | | 1 | ||
| | | 50.1 | ||
|- | |- | ||
| | | 2 | ||
| | | 100.3 | ||
|- | |- | ||
| | | 3 | ||
| | | 150.4 | ||
|- | |- | ||
| | | 4 | ||
| | | 200.6 | ||
|- | |- | ||
| | | 5 | ||
| | | 250.7 | ||
|- | |- | ||
| | | 6 | ||
| | | 300.8 | ||
|- | |- | ||
| | | 7 | ||
| | | 351.0 | ||
|- | |- | ||
| | | 8 | ||
| | | 401.1 | ||
|- | |- | ||
| | | 9 | ||
| | | 451.3 | ||
|- | |- | ||
| | | 10 | ||
| | | 501.4 | ||
|- | |- | ||
| | | 11 | ||
| | | 551.5 | ||
|- | |- | ||
| | | 12 | ||
| | | 601.7 | ||
|- | |- | ||
| | | 13 | ||
| | | 651.8 | ||
|- | |- | ||
| | | 14 | ||
| | | 702.0 | ||
|- | |- | ||
| | | 15 | ||
| | | 752.1 | ||
|- | |- | ||
| | | 16 | ||
| | | 802.2 | ||
|- | |- | ||
| | | 17 | ||
| | | 852.4 | ||
|- | |- | ||
| | | 18 | ||
| | | 902.5 | ||
|- | |- | ||
| | | 19 | ||
| | | 952.7 | ||
|- | |- | ||
| | | 20 | ||
| | | 1002.8 | ||
|- | |- | ||
| | | 21 | ||
| | | 1052.9 | ||
|- | |- | ||
| | | 22 | ||
| | | 1103.1 | ||
|- | |- | ||
| | | 23 | ||
| | | 1153.2 | ||
|- | |- | ||
| | | 24 | ||
| | | 1203.4 | ||
|- | |- | ||
| | | 25 | ||
| | | 1253.5 | ||
|- | |- | ||
| | | 26 | ||
| | | 1303.6 | ||
|- | |- | ||
|28 | | 27 | ||
|1403. | | 1353.8 | ||
|- | |||
| 28 | |||
| 1403.9 | |||
|} | |} | ||
[[ | |||
[[ | == See also == | ||
[[Category: | * [[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]] | |||