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6,211 edits
→Rectangular Horogram as a Table: Added (nearly) all 19edo scale tables for the sake of seeing what it'd look like if it were complete.
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This page is for xen-related tables that I've made but don't have an exact place elsewhere on the wiki (yet).
This page is for xen-related tables that I've made but don't have an exact place elsewhere on the wiki (yet).


== Rectangular Horogram as a Table ==
== Scale Table ==
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:
* 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.
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
| colspan="19" |'''Step Pattern (19edo)'''
Line 8: Line 15:
|'''[[TAMNAMS#Step ratio spectrum|Step Ratio]]'''
|'''[[TAMNAMS#Step ratio spectrum|Step Ratio]]'''
|'''[[TAMNAMS#Mos pattern names|TAMNAMS Name]] (if applicable)'''
|'''[[TAMNAMS#Mos pattern names|TAMNAMS Name]] (if applicable)'''
|-
| colspan="10" |10
| colspan="9" |9
|1L 1s
|10:9
|Generator Pair
|-
|1
| colspan="9" |9
| colspan="9" |9
|2L 1s
|9:1
|
|-
|1
|1
| colspan="8" |8
|1
| colspan="8" |8
|[[2L 3s]]
|8:1
|Pentic
|-
|1
|1
|1
| colspan="7" |7
|1
|1
| colspan="7" |7
|[[2L 5s]]
|7:1
|Antidiatonic
|-
|1
|1
|1
|1
| colspan="6" |6
|1
|1
|1
| colspan="6" |6
|[[2L 7s]]
|6:1
|Joanatonic
|-
|1
|1
|1
|1
|1
| colspan="5" |5
|1
|1
|1
|1
| colspan="5" |5
|[[2L 9s]]
|5:1
|
|-
|1
|1
|1
|1
|1
|1
| colspan="4" |4
|1
|1
|1
|1
|1
| colspan="4" |4
|[[2L 11s]]
|4:1
|
|-
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |3
|1
|1
|1
|1
|1
|1
| colspan="3" |3
|[[2L 13s]]
|3:1
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
|1
|1
|1
| colspan="2" |2
|[[2L 15s]]
|2:1
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |
|}
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
|'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="11" |11
| colspan="11" |11
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|1
|1
|1
|1
|19ed
| colspan="3" |
|
|
|}
|}
{| class="wikitable"
{| class="wikitable"
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|1
|1
|1
|1
| colspan="3" |
|}
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
|'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
|-
| colspan="13" |13
| colspan="6" |6
|1L 1s
|13:6
|Generator Pair
|-
| colspan="7" |7
| colspan="6" |6
| colspan="6" |6
|1L 2s
|7:6
|
|-
|1
| colspan="6" |6
| colspan="6" |6
| colspan="6" |6
|[[3L 1s]]
|6:1
|Tetric (placeholder name for sake of completness)
|-
|1
|1
| colspan="5" |5
|1
| colspan="5" |5
|1
| colspan="5" |5
|[[3L 4s]]
|5:1
|Mosh
|-
|1
|1
|1
| colspan="4" |4
|1
|1
| colspan="4" |4
|1
|1
| colspan="4" |4
|[[3L 7s]]
|4:1
|Sephiroid
|-
|1
|1
|1
|1
| colspan="3" |3
|1
|1
|1
| colspan="3" |3
|1
|1
|1
| colspan="3" |3
|[[3L 10s]]
|3:1
|
|-
|1
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|1
| colspan="2" |2
|[[3L 13s]]
|2:1
|
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |
|}
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
|'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
|-
| colspan="14" |14
| colspan="5" |5
|1L 1s
|14:5
|Generator Pair
|-
| colspan="9" |9
| colspan="5" |5
| colspan="5" |5
|1L 2s
|9:5
|
|
|-
| colspan="4" |4
| colspan="5" |5
| colspan="5" |5
| colspan="5" |5
|[[3L 1s]]
|5:4
|Tetric
|-
| colspan="4" |4
| colspan="4" |4
|1
| colspan="4" |4
|1
| colspan="4" |4
|1
|[[4L 3s]]
|4:1
|Smitonic
|-
| colspan="3" |3
|1
| colspan="3" |3
|1
|1
| colspan="3" |3
|1
|1
| colspan="3" |3
|1
|1
|[[4L 7s]]
|3:1
|Kleistonic (proposed name from 4L 7s page)
|-
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
|1
| colspan="2" |2
|1
|1
|1
| colspan="2" |2
|1
|1
|1
|[[4L 11s]]
|2:1
|
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |
|}
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
|'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
|-
| colspan="15" |15
| colspan="4" |4
|1L 1s
|15:4
|Generator Pair
|-
| colspan="11" |11
| colspan="4" |4
| colspan="4" |4
|1L 2s
|11:4
|
|-
| colspan="7" |7
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|[[1L 3s]]
|7:4
|
|-
| colspan="3" |3
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
| colspan="4" |4
|[[4L 1s]]
|4:3
|Manic
|-
| colspan="3" |3
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
| colspan="3" |3
|1
|[[5L 4s]]
|3:1
|Semiquartal
|-
| colspan="2" |2
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
| colspan="2" |2
|1
|1
|[[5L 9s]]
|2:1
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |
|}
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
|'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
|-
| colspan="16" |16
| colspan="3" |3
|1L 1s
|16:3
|Generator Pair
|-
| colspan="13" |13
| colspan="3" |3
| colspan="3" |3
|1L 2s
|13:3
|
|-
| colspan="10" |10
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[1L 3s]]
|10:3
|
|-
| colspan="7" |7
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[1L 4s]]
|7:3
|
|-
| colspan="4" |4
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[1L 5s]]
|4:3
|
|-
|1
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
| colspan="3" |3
|[[6L 1s]]
|3:1
|Archeotonic
|-
|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
|[[6L 7s]]
|2:1
|
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |
|}
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
|'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
|-
| colspan="17" |17
| colspan="2" |2
|1L 1s
|17:2
|Generator Pair
|-
| colspan="15" |15
| colspan="2" |2
| colspan="2" |2
|1L 2s
|15:2
|
|-
| colspan="13" |13
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 3s]]
|13:2
|
|-
| colspan="11" |11
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[1L 4s]]
|11:2
|
|-
| colspan="9" |9
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
| colspan="2" |2
|[[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
|[[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
|[[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
|[[1L 8s]]
|3:2
|
|-
|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
|[[9L 1s]]
|2:1
|Sinatonic
|-
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
|1
| colspan="3" |
|}
|}


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