14edo: Difference between revisions

Inthar (talk | contribs)
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TallKite (talk | contribs)
added M2, m2 and A1 to the template, moved the primes-error table up to the top
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| Prime factorization = 2 * 7
| Prime factorization = 2 * 7
| Subgroup = 2.7/5.9/5.11/5.19/5
| Subgroup = 2.7/5.9/5.11/5.19/5
| Step size = 85.714
| Step size = 85.714¢
| Fifth type = [[7edo]] 8\14 685.714¢
| Fifth type = [[7edo]] 8\14 = 685.714¢
| Major 2nd = 2\14 = 171.429¢
| Minor 2nd = 2\14 = 171.429¢
| Augmented 1sn = 0\14 = 0¢
| Common uses = chromatic [[7edo]]<br/>semaphore
| Common uses = chromatic [[7edo]]<br/>semaphore
| Important MOS = [[semaphore]] 5L4s 221212121 (3\14, 1\1)
| Important MOS = [[semaphore]] 5L4s 221212121 (3\14, 1\1)
}}
}}
== Theory ==
{| class="wikitable center-all"
! colspan="2" |
! prime 2
! prime 3
! prime 5
! prime 7
! prime 11
! prime 13
! prime 17
! prime 19
! prime 23
|-
! rowspan="2" |Error
! absolute (¢)
| 0.0
|  -16.2
|  +42.3
|  -26.0
|  -37.0
|  +16.6
|  -19.2
|  -40.3
|  -28.3
|-
![[Relative error|relative]] (%)
| 0.0
|  -19
|  +49
|  -30
|  -43
|  +19
|  -22
|  -47
|  -33
|-
! colspan="2" |[[nearest edomapping]]
|14
|8
|5
|11
|6
|10
|1
|3
|7
|}


== Intervals ==
== Intervals ==
{| class="wikitable center-all right-1 right-2 left-4 left-5"
{| class="wikitable center-all right-1 right-2 left-4 left-5"
|-
|-
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== Just approximation ==
== Just approximation ==
=== Selected just intervals by error ===
=== Selected just intervals by error ===
{| class="wikitable center-all"
! colspan="2" |
! prime 2
! prime 3
! prime 5
! prime 7
! prime 11
! prime 13
! prime 17
! prime 19
! prime 23
|-
! rowspan="2" |Error
! absolute (¢)
| 0.0
| -16.2
| +42.3
| -26.0
| -37.0
| +16.6
| -19.2
| -40.3
| -28.3
|-
! [[Relative error|relative]] (%)
| 0.0
| -18.9
| +49.3
| -30.3
| -43.2
| +19.4
| -22.4
| -47.1
| -33.0
|}
==== Selected 13-limit intervals ====
==== Selected 13-limit intervals ====
[[File:14ed2-001.svg|alt=alt : Your browser has no SVG support.]]
[[File:14ed2-001.svg|alt=alt : Your browser has no SVG support.]]