19edo: Difference between revisions

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Music: Added music
Linear temperaments: update as requested
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* [[List of 19et rank two temperaments by complexity]]
* [[List of 19et rank two temperaments by complexity]]
* [[List of edo-distinct 19et rank two temperaments]]
* [[List of edo-distinct 19et rank two temperaments]]
* [[Syntonic-enneadecal equivalence continuum]]
* [[Syntonic-kleismic equivalence continuum]]


Since 19 is prime, all rank-2 temperaments in 19edo have one period per octave (i.e. are linear). Therefore you can make a correspondence between intervals and the linear temperaments they generate.
Since 19 is prime, all rank-2 temperaments in 19edo have one period per octave (i.e. are linear). Therefore you can make a correspondence between intervals and the linear temperaments they generate.


{| class="wikitable right-1 right-2"
{| class="wikitable center-1 right-2 center-3"
|-
|-
! Degree
! Degree
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! Interval
! Interval
! MOSes
! MOSes
! Generator for
! Temperaments
|-
|-
| 1
| 1
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| A2, d3
| A2, d3
| [[1L 3s]], [[4L 1s]], <br>[[5L 4s]], [[5L 9s]]
| [[1L 3s]], [[4L 1s]], <br>[[5L 4s]], [[5L 9s]]
| [[Semaphore]] / [[godzilla]]
| [[Godzilla]]
|-
|-
| 5
| 5
Line 738: Line 738:
| m3
| m3
| [[3L 1s]], [[4L 3s]], <br>[[4L 7s]], [[4L 11s]]
| [[3L 1s]], [[4L 3s]], <br>[[4L 7s]], [[4L 11s]]
| [[Hanson]] / [[keemun]] / [[catakleismic]]
| [[Cata]] / [[keemun]] / [[catakleismic]]
|-
|-
| 6
| 6
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| M3
| M3
| [[3L 1s]], [[3L 4s]], [[3L 7s]], <br>[[3L 10s]], [[3L 13s]]
| [[3L 1s]], [[3L 4s]], [[3L 7s]], <br>[[3L 10s]], [[3L 13s]]
| [[Magic]]
| [[Magic]] / [[muggles]]
|-
|-
| 7
| 7
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| A3, d4
| A3, d4
| [[3L 2s]], [[3L 5s]], [[8L 3s]]
| [[3L 2s]], [[3L 5s]], [[8L 3s]]
| [[Sensipent]] / [[BPS]] / [[sensi]]
| [[Sensi]]
|-
|-
| 8
| 8
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| A4
| A4
| [[2L 3s]], [[2L 5s]], [[2L 7s]], <br>[[2L 9s]], [[2L 11s]], [[2L 13s]], <br>[[2L 15s]]
| [[2L 3s]], [[2L 5s]], [[2L 7s]], <br>[[2L 9s]], [[2L 11s]], [[2L 13s]], <br>[[2L 15s]]
| [[Lee]] / [[liese]] / [[pycnic]]<br>[[Triton]]
| [[Liese]] / [[pycnic]]<br>[[Triton]]
|}
|}