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User:Ganaram inukshuk/Tables: Difference between revisions

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→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.
Ganaram inukshuk (talk | contribs)
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→Interval Table: Added interval/mode tables
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== Scale 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 ===
=== 19edo Moment-of-Symmetry Scales ===
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{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''[[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="10" |10
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="11" |11
| colspan="11" |11
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="12" |12
| colspan="12" |12
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="13" |13
| colspan="13" |13
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="14" |14
| colspan="14" |14
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="15" |15
| colspan="15" |15
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="16" |16
| colspan="16" |16
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|}
|}
{| class="wikitable"
{| class="wikitable"
| colspan="19" |'''Step Pattern (19edo)'''
! colspan="19" |'''Step Pattern (19edo)'''
|'''MOS'''
!'''Mos'''
|'''Step Ratio'''
!'''Step Ratio'''
|'''TAMNAMS Name (if applicable)'''
!'''TAMNAMS Name (if applicable)'''
|-
|-
| colspan="17" |17
| colspan="17" |17
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|}
|}


== Interval Table ==
== Mode and Interval Table ==
wip
Based on the scale table, there is also the idea of a mode table. Since the modes of a scale affect its scale degrees, this also serves as an interval table.
 
Notes:
 
* The names are based on [[TAMNAMS]] naming conventions.
* As this is an interval table, intervals are based on the root of the scale and whichever scale degree is k steps up from the root. For intervals that have two sizes (major and minor, augmented and perfect, or perfect and diminished), '''bold''' text denotes the larger of the two intervals. (This is far more striking with color coding.)
 
{| class="wikitable"
!'''Mos'''
!'''Scale Code'''
!'''UDP'''
!'''Mode Name'''
!0-step
(unison)
!1-step
!2-step
!3-step
!4-step
!5-step
!6-step
!7-step
(octave)
|-
| rowspan="7" |Diatonic (5L 2s)
|LLLsLLs
|<nowiki>6|0</nowiki>
|Lydian
|Perfect
|'''Maj'''
|'''Maj'''
|'''Aug'''
|'''Perfect'''
|'''Maj'''
|'''Maj'''
|Perfect
|-
|LLsLLLs
|<nowiki>5|1</nowiki>
|Ionian
|Perfect
|'''Maj'''
|'''Maj'''
|Perfect
|'''Perfect'''
|'''Maj'''
|'''Maj'''
|Perfect
|-
|LLsLLsL
|<nowiki>4|2</nowiki>
|Mixolydian
|Perfect
|'''Maj'''
|'''Maj'''
|Perfect
|'''Perfect'''
|'''Maj'''
|min
|Perfect
|-
|LsLLLsL
|<nowiki>3|3</nowiki>
|Dorian
|Perfect
|'''Maj'''
|min
|Perfect
|'''Perfect'''
|'''Maj'''
|min
|Perfect
|-
|LsLLsLL
|<nowiki>2|4</nowiki>
|Aeolian
|Perfect
|'''Maj'''
|min
|Perfect
|'''Perfect'''
|min
|min
|Perfect
|-
|sLLLsLL
|<nowiki>1|5</nowiki>
|Phrygian
|Perfect
|min
|min
|Perfect
|'''Perfect'''
|min
|min
|Perfect
|-
|sLLsLLL
|<nowiki>0|6</nowiki>
|Locrian
|Perfect
|min
|min
|Perfect
|dim
|min
|min
|Perfect
|}
{| class="wikitable"
!'''Mos'''
!'''Scale Code'''
!'''UDP'''
!'''Mode Name'''
!0-step
(unison)
!1-step
!2-step
!3-step
!4-step
!5-step
!6-step
!7-step
(octave)
|-
| rowspan="7" |Mosh (3L 4s)
|LsLsLss
|<nowiki>6|0</nowiki>
|Dril
|Perfect
|'''Maj'''
|'''Perfect'''
|'''Maj'''
|'''Maj'''
|'''Aug'''
|'''Maj'''
|Perfect
|-
|LsLssLs
|<nowiki>5|1</nowiki>
|Gil
|Perfect
|'''Maj'''
|'''Perfect'''
|'''Maj'''
|'''Maj'''
|Perfect
|'''Maj'''
|Perfect
|-
|LssLsLs
|<nowiki>4|2</nowiki>
|Kleeth
|Perfect
|'''Maj'''
|'''Perfect'''
|min
|'''Maj'''
|Perfect
|'''Maj'''
|Perfect
|-
|sLsLsLs
|<nowiki>3|3</nowiki>
|Bish
|Perfect
|min
|'''Perfect'''
|min
|'''Maj'''
|Perfect
|'''Maj'''
|Perfect
|-
|sLsLssL
|<nowiki>2|4</nowiki>
|Fish
|Perfect
|min
|'''Perfect'''
|min
|'''Maj'''
|Perfect
|min
|Perfect
|-
|sLssLsL
|<nowiki>1|5</nowiki>
|Jwl
|Perfect
|min
|'''Perfect'''
|min
|min
|Perfect
|min
|Perfect
|-
|ssLsLsL
|<nowiki>0|6</nowiki>
|Led
|Perfect
|min
|dim
|min
|min
|Perfect
|min
|Perfect
|}
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