14edt: Difference between revisions

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'''14edt''' is the 14 division of the tritave ([[3/2]]) with a step size of 135.854 [[cent]]. Is the simplest [[edt]] with a distinct form for each rotation of the Anti-Lambda scale. It can be seen as [[9edo]] with ~23 cent [[stretched octave]]s and so is a stretched octave pelog scale.
{{Infobox ET}}
{{ED intro}}


{| class="wikitable"
== Theory ==
14edt is the simplest [[edt]] with a distinct form for each rotation of the [[5L 4s (3/1-equivalent)|antilambda]] 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]].
 
=== Harmonics ===
{{Harmonics in equal|14|3|1|intervals=integer|columns=11}}
{{Harmonics in equal|14|3|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 14edt (continued)}}
 
=== Subsets and supersets ===
Since 14 factors into primes as {{nowrap| 2 × 7 }}, 14edt has subset edts [[2edt]] and [[7edt]].
 
== Intervals ==
{| class="wikitable center-1 right-2 right-3"
|-
|-
! Degree
! #
! Cents
! [[Cent]]s
! Notation
! [[Hekt]]s
! Notation{{clarify}}
|-
|-
| 1
| 1
| 135.854
| 136
| Cp/D@
| 93
| Cp/D\\
|-
|-
| 2
| 2
| 271.708
| 272
| 186
| D
| D
|-
|-
| 3
| 3
| 407.562
| 408
| 279
| E
| E
|-
|-
| 4
| 4
| 543.416
| 543
| Ep/F@
| 371
| Ep/F\\
|-
|-
| 5
| 5
| 679.270
| 679
| 464
| F
| F
|-
|-
| 6
| 6
| 815.124
| 815
| 557
| G
| G
|-
|-
| 7
| 7
| 950.978
| 951
| Gp/H@
| 650
| Gp/H\\
|-
|-
| 8
| 8
| 1086.831
| 1087
| 743
| H
| H
|-
|-
| 9
| 9
| 1222.685
| 1223
| 836
| J
| J
|-
|-
| 10
| 10
| 1358.539
| 1359
| Jp/A@
| 929
| Jp/A\\
|-
|-
| 11
| 11
| 1494.393
| 1494
| 1021
| A
| A
|-
|-
| 12
| 12
| 1630.247
| 1630
| Ap/B@
| 1114
| Ap/B\\
|-
|-
| 13
| 13
| 1766.101
| 1766
| 1207
| B
| B
|-
|-
| 14
| 14
| 1901.955
| 1902
| 1300
| C
| C
|}
|}


[[Category:Edt]]
== See also ==
[[Category:Macrotonal]]
* [[9edo]] – relative edo
* [[23ed6]] – relative ed6
* [[32ed12]] – relative ed12
 
 
{{Todo|inline=1|expand}}
[[Category:Pelog]]