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User:Ganaram inukshuk/Tables: Difference between revisions

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Reorganized the page to state that the tables use 19edo as sample data. Testing out tables that include both temperament info and temperament-agnostic info.
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I've had the idea of using a [[User:Ganaram inukshuk/Diagrams#MOS Diagrams for a Specific EDO|rectangular horogram]] to represent how mosses of a specific generator pair are related to one another, only to learn that I can copy-paste the entire tables from Excel into the wiki editor. I doubt I'd be the first person to do this, but this would be a nice way to list the mosses of an edo. The idea to include scale and step ratio information occurred mid-editing. Here's a few examples.
I've had the idea of using a [[User:Ganaram inukshuk/Diagrams#MOS Diagrams for a Specific EDO|rectangular horogram]] to represent how mosses of a specific generator pair are related to one another, only to learn that I can copy-paste the entire tables from Excel into the wiki editor. I doubt I'd be the first person to do this, but this would be a nice way to list the mosses of an edo. The idea to include scale and step ratio information occurred mid-editing. Here's a few examples.


=== 19edo Moment-of-Symmetry Scales ===
Notes:
Notes:
* The generator pairs are ordered starting from ceil(n/2)\n and floor(n/2)\n and ending at (n-2)\n and 2\n. Including every possible pair from 1\n to (n-1)\n to (n-1)\n to 1\n would be redundant since the pair k\n and (n-k)\n would produce a table that's identical to (n-k)\n and k\n but reversed.
* The generator pairs are ordered starting from ceil(n/2)\n and floor(n/2)\n and ending at (n-2)\n and 2\n. Including every possible pair from 1\n to (n-1)\n to (n-1)\n to 1\n would be redundant since the pair k\n and (n-k)\n would produce a table that's identical to (n-k)\n and k\n but reversed.
* (n-1)\n and 1\n is not included since it produces a sequence of "monolarge" scales where every scale in the table has the same size of small step.
* (n-1)\n and 1\n is not included since it produces a sequence of "monolarge" scales where every scale in the table has the same size of small step.
* Information from the page for [[19edo]] and its subpages (as of time of writing) is used as sample data.


=== Temperament Agnostic Information Only ===
{| class="wikitable"
{| class="wikitable"
! colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
Line 810: Line 810:
| colspan="3" |
| colspan="3" |
|}
|}
=== Temperament-Agnostic and Temperament Information ===
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="10" |10
| colspan="9" |9
|
|1L 1s
|10:9
|
|
|-
|1
| colspan="9" |9
| colspan="9" |9
|199
|2L 1s
|9:1
|
|
|-
|1
|1
| colspan="8" |8
|1
| colspan="8" |8
|11818
|2L 3s
|8:1
|pentic
|liese[5]
|-
|1
|1
|1
| colspan="7" |7
|1
|1
| colspan="7" |7
|1117117
|2L 5s
|7:1
|antidiatonic
|liese[7]
|-
|1
|1
|1
|1
| colspan="6" |6
|1
|1
|1
| colspan="6" |6
|111161116
|2L 7s
|6:1
|joanatonic
|liese[9]
|-
|1
|1
|1
|1
|1
| colspan="5" |5
|1
|1
|1
|1
| colspan="5" |5
|11111511115
|2L 9s
|5:1
|
|liese[11]
|-
|1
|1
|1
|1
|1
|1
| colspan="4" |4
|1
|1
|1
|1
|1
| colspan="4" |4
|1111114111114
|2L 11s
|4:1
|
|liese[13]
|-
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |3
|1
|1
|1
|1
|1
|1
| colspan="3" |3
|111111131111113
|2L 13s
|3:1
|
|liese[15]
|-
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|11111111211111112
|2L 15s
|2:1
|
|liese[17]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="11" |11
| colspan="8" |8
|
|1L 1s
|11:8
|
|
|-
| colspan="3" |3
| colspan="8" |8
| colspan="8" |8
|388
|2L 1s
|8:3
|
|
|-
| colspan="3" |3
| colspan="3" |3
| colspan="5" |5
| colspan="3" |3
| colspan="5" |5
|33535
|2L 3s
|5:3
|pentic
|meantone[5]
|-
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="2" |2
| colspan="3" |3
| colspan="3" |3
| colspan="2" |2
|3332332
|5L 2s
|3:2
|diatonic
|meantone[7]
|-
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
| colspan="2" |2
|121212212122
|7L 5s
|2:1
|m-chromatic
|meantone[12]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|19ed
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="12" |12
| colspan="7" |7
|
|1L 1s
|12:7
|
|
|-
| colspan="5" |5
| colspan="7" |7
| colspan="7" |7
|577
|2L 1s
|7:5
|
|
|-
| colspan="5" |5
| colspan="5" |5
| colspan="2" |2
| colspan="5" |5
| colspan="2" |2
|55252
|3L 2s
|5:2
|antipentic
|sensi[5]
|-
| colspan="3" |3
| colspan="2" |2
| colspan="3" |3
| colspan="2" |2
| colspan="2" |2
| colspan="3" |3
| colspan="2" |2
| colspan="2" |2
|32322322
|3L 5s
|3:2
|sensoid
|sensi[8]
|-
|1
| colspan="2" |2
| colspan="2" |2
|1
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|1
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|12212221222
|8L 3s
|2:1
|
|sensi[11]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="13" |13
| colspan="6" |6
|
|1L 1s
|13:6
|
|
|-
| colspan="7" |7
| colspan="6" |6
| colspan="6" |6
|766
|1L 2s
|7:6
|
|
|-
|1
| colspan="6" |6
| colspan="6" |6
| colspan="6" |6
|1666
|3L 1s
|6:1
|tetric
|
|-
|1
|1
| colspan="5" |5
|1
| colspan="5" |5
|1
| colspan="5" |5
|1151515
|3L 4s
|5:1
|mosh
|magic[7]
|-
|1
|1
|1
| colspan="4" |4
|1
|1
| colspan="4" |4
|1
|1
| colspan="4" |4
|1114114114
|3L 7s
|4:1
|sephiroid
|magic[10]
|-
|1
|1
|1
|1
| colspan="3" |3
|1
|1
|1
| colspan="3" |3
|1
|1
|1
| colspan="3" |3
|1111311131113
|3L 10s
|3:1
|
|magic[13]
|-
|1
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
| colspan="2" |2
|1111121111211112
|3L 13s
|2:1
|
|magic[16]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="14" |14
| colspan="5" |5
|
|1L 1s
|14:5
|
|
|-
| colspan="9" |9
| colspan="5" |5
| colspan="5" |5
|955
|1L 2s
|9:5
|
|
|-
| colspan="4" |4
| colspan="5" |5
| colspan="5" |5
| colspan="5" |5
|4555
|3L 1s
|5:4
|tetric
|
|-
| colspan="4" |4
| colspan="4" |4
|1
| colspan="4" |4
|1
| colspan="4" |4
|1
|4414141
|4L 3s
|4:1
|smitonic
|kleismic[7]
|-
| colspan="3" |3
|1
| colspan="3" |3
|1
|1
| colspan="3" |3
|1
|1
| colspan="3" |3
|1
|1
|31311311311
|4L 7s
|3:1
|kleistonic
|kleismic[11]
|-
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
|1
| colspan="2" |2
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|211211121112111
|4L 11s
|2:1
|
|kleismic[15]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="15" |15
| colspan="4" |4
|
|1L 1s
|15:4
|
|
|-
| colspan="11" |11
| colspan="4" |4
| colspan="4" |4
|1144
|1L 2s
|11:4
|
|
|-
| colspan="7" |7
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|7444
|1L 3s
|7:4
|
|
|-
| colspan="3" |3
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|34444
|4L 1s
|4:3
|manic
|godzilla[5]
|-
| colspan="3" |3
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
|331313131
|5L 4s
|3:1
|semiquartal
|godzilla[9]
|-
| colspan="2" |2
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
|21211211211211
|5L 9s
|2:1
|
|godzilla[14]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="16" |16
| colspan="3" |3
|
|1L 1s
|16:3
|
|
|-
| colspan="13" |13
| colspan="3" |3
| colspan="3" |3
|1333
|1L 2s
|13:3
|
|
|-
| colspan="10" |10
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|10333
|1L 3s
|10:3
|
|
|-
| colspan="7" |7
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|73333
|1L 4s
|7:3
|
|
|-
| colspan="4" |4
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|433333
|1L 5s
|4:3
|
|deutone[6]
|-
|1
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|1333333
|6L 1s
|3:1
|archeotonic
|deutone[7]
|-
|1
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1
| colspan="2" |2
|1121212121212
|6L 7s
|2:1
|
|deutone[13]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}
{| class="wikitable"
! colspan="19" rowspan="2" |Step Pattern
! colspan="4" |Temperament-Agnostic Information
! rowspan="2" |Temperament
|-
!Scale Code
!Mos
!Step Ratio
!TAMNAMS Name
|-
| colspan="17" |17
| colspan="2" |2
|
|1L 1s
|17:2
|
|
|-
| colspan="15" |15
| colspan="2" |2
| colspan="2" |2
|1522
|1L 2s
|15:2
|
|
|-
| colspan="13" |13
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|13222
|1L 3s
|13:2
|
|
|-
| colspan="11" |11
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|112222
|1L 4s
|11:2
|
|
|-
| colspan="9" |9
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|922222
|1L 5s
|9:2
|
|
|-
| colspan="7" |7
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|7222222
|1L 6s
|7:2
|
|
|-
| colspan="5" |5
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|52222222
|1L 7s
|5:2
|
|
|-
| colspan="3" |3
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|322222222
|1L 8s
|3:2
|
|negri[9]
|-
|1
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|1222222222
|9L 1s
|2:1
|sinatonic
|negri[10]
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|
|
|
|
|
|}


== Mode and Interval Table ==
== Mode and Interval Table ==
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/Tables"