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This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)
This is a sandbox page for me (Ganaram) to test out a few things before deploying things. (Expect some mess.)


== Sandbox for proposed templates ==
<pre>{{subst:User:Ganaram inukshuk/JI ratios|Int Limit=50|Prime Limit=7|Equave=2/1}}</pre>


===Infobox MOS with audio examples===
produces
<div style="
 
border: 1px solid #999;
1/1, 50/49, 49/48, 36/35, 28/27, 25/24, 21/20, 16/15, 15/14, 27/25, 49/45, 35/32, 10/9, 28/25, 9/8, 8/7, 7/6, 32/27, 25/21, 6/5, 49/40, 5/4, 32/25, 9/7, 35/27, 21/16, 4/3, 27/20, 49/36, 48/35, 25/18, 7/5, 45/32, 10/7, 36/25, 35/24, 40/27, 3/2, 32/21, 49/32, 14/9, 25/16, 8/5, 45/28, 49/30, 5/3, 42/25, 27/16, 12/7, 7/4, 16/9, 25/14, 9/5, 49/27, 50/27, 28/15, 15/8, 40/21, 48/25, 27/14, 35/18, 49/25, 2/1
margin: 0;
 
margin-left: 1em;
== MOS scalesig ==
margin-bottom: 0.5em;
{{Infobox|Left Link=Neutral 3rd|Title=Major 3rd|Right Link=Perfect 4th|Data 1='''Interval range information'''|Header 2=Approximate range|Data 2=180{{c}} - 240{{c}}|Header 3=Complement|Data 3=Minor 6th|Data 5='''JI examples'''|Data 6=5/4, 9/7, 81/64|Data 10='''Generated scales'''|Data 11=4L 3s, 4L 7s}}
padding: 0.5em;
 
background-color: #f0f0f0;
== MOS tuning spectrum (AKA, scale tree) ==
min-width: 15em;
 
float: right;
{{MOS tuning spectrum
max-width: 100%;
| Scale Signature = 1L 1s
overflow: auto;
| Int Limit = 13
">
}}
{| width="100%" style="border-collapse: collapse;"
 
|+ style="font-weight: bold; text-align: center;" | <table style="width: 100%; margin: 0"><tr><td style="width: 15%; text-align: left; white-space: nowrap; font-size: smaller">[[4L 1s|↖4L 1s]]</td><td style="
{{MOS tuning spectrum
width: 50%; padding-left: 1em; padding-right: 1em; text-align: center; font-size: smaller">[[5L 1s|↑5L 1s]]
| Scale Signature= 3L 4s
</td><td style="width: 15%; text-align: right; white-space: nowrap; font-size: smaller">[[6L 1s|6L 1s↗]]</td>
| Int Limit = 20
<tr><td style="width: 15%; text-align: left; white-space: nowrap; font-size: smaller">[[4L 2s|←4L 2s]]</td><td style="width: 50%; padding-left: 1em; padding-right: 1em; text-align: center">5L 2s</td><td style="width: 15%; text-align: right; white-space: nowrap; font-size: smaller">[[6L 2s|6L 2s→]]</td></tr><tr><td style="width: 15%; text-align: left; white-space: nowrap; font-size: smaller">[[4L 3s|↙4L 3s]]</td><td style="
| 6/5 = [[Mohaha]] / ptolemy↑
width: 50%; padding-left: 1em; padding-right: 1em; text-align: center; font-size: smaller">[[5L 3s|↓5L 3s]]
| 5/4 = Mohaha / migration / [[mohajira]]
</td><td style="width: 15%; text-align: right; white-space: nowrap; font-size: smaller">[[6L 3s|6L 3s↘]]</td></tr></table>
| 11/8 = Mohaha / mohamaq
| 7/5 = Mohaha / [[neutrominant]]
| 10/7 = [[Hemif]] / [[hemififths]]
| 11/7 = [[Suhajira]]
| 13/8 = Golden suhajira (354.8232¢)
| 5/3 = Suhajira / [[ringo]]
| 12/7 = [[Beatles]]
| 13/5 = Unnamed golden tuning (366.2564¢)
| 7/2 = [[Sephiroth]]
| 9/2 = [[Muggles]]
| 5/1 = [[Magic]]
| 6/1 = [[Würschmidt]]↓
}}
 
{{MOS tuning spectrum
| Depth = 3
| Scale Signature= 3L 4s<3/2>
}}
 
== MOS intro==
First sentence:
*Single-period 2/1-equivalent: '''xL ys''' (TAMNAMS name ''tamnams-name''), also called ''other-name'', is an octave-repeating moment of symmetry scale that divides the octave (2/1) into x large and y small steps.
*Multi-period 2/1-equivalent: '''nxL nys''' (TAMNAMS name ''tamnams-name''), also called ''other-name'', is an octave-repeating moment of symmetry scale that divides the octave (2/1) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
*Single-period 3/1-equivalent: '''3/1-equivalent xL ys''', also called other-name, is a twelfth-repeating moment of symmetry scale that divides the tritave or perfect 12th (3/1, c cents) into x large and y small steps.
*Multi-period 3/1-equivalent: '''3/1-equivalent nxL nys''', also called ''other-name'', is a twelfth-repeating moment of symmetry scale that divides the tritave or perfect 12th (3/1, nc cents) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
*Single-period 3/2-equivalent: '''3/2-equivalent xL ys''', also called other-name, is a fifth-repeating moment of symmetry scale that divides the perfect 5th (3/2, c cents) into x large and y small steps.
*Multi-period 3/2-equivalent: '''3/2-equivalent nxL nys''', also called ''other-name'', is a fifth-repeating moment of symmetry scale that divides the perfect 5th (3/2, nc cents) into nx large steps and ny small steps, with n periods of c cents containing x large and y small steps each.
Second sentence:
 
*Generators that produce this scale range from g1 cents to g2 cents, or from d1 cents to d2 cents.
 
Octave-equivalent relational info:
 
*Parents of mosses with 6-10 steps: xL ys is the parent scale of both child-soft and child-hard.
*Children of mosses with 6-10 steps: xL ys expands parent-scale by adding step-count-difference tones.
 
Rothenprop:
 
*Single-period: Scales of this form are always proper because there is only one small step.
*Multi-period: Scales of this form, where every period is the same, are proper because there is only one small step per period.
 
==Sandbox for proposed templates==
===Cent ruler ===
 
<div style="height: 100px; width: 100%; background-color: powderblue; font-size: 0;">
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 4.166%; background-color: #eee; font-size: 12px">50</div>
</div>
 
 
<div style="height: 100px; width: 1200px; background-color: powderblue; font-size: 0;">
<div style="border-bottom: 100px solid #555; border-left: 0px solid transparent; border-right: 30px solid transparent; display: inline-block; height: 0px; width: 33.333%;"></div>
</div>
 
<div style="height: 100px; width: 100%; background-color: powderblue; font-size: 0;">
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 16.667%; background-color: #eee;">L</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 16.667%; background-color: #eee;">L</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 16.667%; background-color: #eee;">L</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 8.333%; background-color: gray;">s</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 16.667%; background-color: #eee;">L</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 16.667%; background-color: #eee;">L</div>
<div style="display: inline-block; margin: 0px; outline: 1px solid; height: 100px; width: 8.333%; background-color: gray;">s</div>
</div>
 
=== MOS characteristics===
NOTE: not suitable for displaying intervals or scale degrees. Repurpose for other content.<div style="  display: block;
  background-color: #dddddd;
  column-fill: balance;
  column-width: auto;
  column-width: 600px;
  padding: 10px;"><div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">{{MOS mode degrees|Scale Signature=5L 2s}}
</div>
  <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">{{MOS intervals|Scale Signature=5L 2s}}
</div>
  <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">Tamnams suggests the name NAME for this scale, which comes from ORIGIN. Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.</div> 
  <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">4</div>
  <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">5</div>  <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">6</div>   <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">7</div>  <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">8</div>   <div style="
    position: relative;
    background-color: #eee;
    display: grid;
    break-inside: avoid-column;
    padding: 1em;
    ">9</div>  
</div>
 
===MOS intervals (using large/small instead of MmAPd)===
{| class="wikitable"
|+Intervals of 5L 2s
!Interval
!Size(s)
!Steps
!Range in cents
!Abbrev.
|-
|'''0-diastep (root)'''
|Perfect 0-diastep
|0
|0.0¢
|P0ms
|-
| rowspan="2" |1-diastep
|Small 1-diastep
|s
|0.0¢ to 171.4¢
|s1ms
|-
|Large 1-diastep
|L
|171.4¢ to 240.0¢
|L1ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | Brightest mode
| rowspan="2" | 2-diastep
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | LLLsLLs
|Small 2-diastep
|L + s
|240.0¢ to 342.9¢
|s2ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | Period
|Large 2-diastep
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | 2/1
| 2L
|342.9¢ to 480.0¢
|L2ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | Range for [[bright]] [[generator]]
| rowspan="2" |'''3-diastep'''
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | 4\7 (685.7¢) to 3\5 (720¢)
|'''Small 3-diastep'''
|2L + s
|480.0¢ to 514.3¢
|s3ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | Range for [[dark]] [[generator]]
|Large 3-diastep
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | 2\5 (480¢) to 3\7 (514.3¢)
| 3L
|514.3¢ to 720.0¢
| L3ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Mos pattern names|TAMNAMS name]]
| rowspan="2" |'''4-diastep'''
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | diatonic
|Small 4-diastep
|2L + 2s
|480.0¢ to 685.7¢
|s4ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Mos pattern names|TAMNAMS prefix]]
|'''Large 4-diastep'''
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | dia-
|3L + s
|685.7¢ to 720.0¢
|L4ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | Parent MOS
| rowspan="2" |5-diastep
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[2L 3s|2L 3s]]
|Small 5-diastep
|3L + 2s
|720.0¢ to 857.1¢
|s5ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[Operations on MOSes#Sister_MOS|Sister MOS]]
|Large 5-diastep
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[2L 5s|2L 5s]]
|4L + s
|857.1¢ to 960.0¢
|L5ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | Daughter MOSes
| rowspan="2" |6-diastep
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[7L 5s|7L 5s]], [[5L 7s|5L 7s]]
|Small 6-diastep
|4L + 2s
|960.0¢ to 1028.6¢
| s6ms
|-
|-
|colspan="2" style="text-align:center;"| <b>Equal tunings and audio examples</b>
|Large 6-diastep
|5L + s
|1028.6¢ to 1200.0¢
|L6ms
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Supersoft]] (L:s = 4:3)
|'''7-diastep (octave)'''
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[26edo|15\26]] (692.3¢) <small>Listen</small>
|Perfect 7-diastep
|5L + 2s
| 1200.0¢
|P7ms
|}
 
===MOS mode degrees (using large/small instead of MmAPd)===
{| class="wikitable sortable"
|+Scale degree qualities of 5L 2s modes
! colspan="2" |Mode names
! colspan="2" |Ordering
! rowspan="2" |Step pattern
! colspan="8" |Scale degree
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Soft]] (L:s = 3:2)
!Default
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[19edo|11\19]] (694.7¢) <small>Listen</small>
!Names
!Bri.
! Rot.
!0
!1
!2
!3
!4
!5
!6
!7
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Semisoft]] (L:s = 5:3)
|<nowiki>5L 2s 6|0</nowiki>
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[31edo|18\31]] (696.8¢) <small>Listen</small>
|Lydian
|1
|1
|LLLsLLs
|Perf.
|Lg.
| Lg.
|Lg.
|Lg.
|Lg.
|Lg.
| Perf.
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Basic]] (L:s = 2:1)
|<nowiki>5L 2s 5|1</nowiki>
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[12edo|7\12]] (700¢) <small>Listen</small>
|Ionian (major)
|2
|5
|LLsLLLs
|Perf.
|Lg.
| Lg.
|Sm.
|Lg.
|Lg.
|Lg.
|Perf.
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Semihard]] (L:s = 5:2)
|<nowiki>5L 2s 4|2</nowiki>
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[29edo|17\29]] (703.4¢) <small>Listen</small>
|Mixolydian
|3
|2
|LLsLLsL
|Perf.
|Lg.
| Lg.
|Sm.
|Lg.
|Lg.
|Sm.
|Perf.
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Hard]] (L:s = 3:1)
|<nowiki>5L 2s 3|3</nowiki>
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[17edo|10\17]] (705.9¢) <small>Listen</small>
|Dorian
|4
|6
|LsLLLsL
|Perf.
|Lg.
|Sm.
|Sm.
|Lg.
|Lg.
|Sm.
| Perf.
|-
|-
| style="text-align:right; padding-right: 0.25em" | [[TAMNAMS#Step ratio spectrum|Superhard]] (L:s = 4:1)
|<nowiki>5L 2s 2|4</nowiki>
| style="background-color: white; padding-left: 0.25em; font-weight: bold" | [[22edo|13\22]] (709.1¢) <small>Listen</small>
|Aeolian (minor)
|}</div>[[Category:Abstract MOS patterns]]
|5
|3
|LsLLsLL
|Perf.
|Lg.
| Sm.
|Sm.
|Lg.
|Sm.
|Sm.
|Perf.
|-
|<nowiki>5L 2s 1|5</nowiki>
|Phrygian
|6
|7
|sLLLsLL
|Perf.
|Sm.
| Sm.
|Sm.
|Lg.
|Sm.
|Sm.
|Perf.
|-
|<nowiki>5L 2s 0|6</nowiki>
|Locrian
|7
|4
|sLLsLLL
|Perf.
| Sm.
|Sm.
| Sm.
|Sm.
|Sm.
|Sm.
|Perf.
|}
 
===KB vis===
{| class="wikitable"
|+
! rowspan="2" |Type
! rowspan="2" |Visualization
! colspan="4" |Individual steps
! rowspan="2" |Notes
|-
!Start
!Large step
!Small step
!End
|-
|Small vis
|<pre style="line-height: 1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">┌╥╥╥┬╥╥┬┐
│║║║│║║││
│││││││││
└┴┴┴┴┴┴┴┘</pre>
|<pre style="line-height: 1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">┌
│
│
└</pre>
|<pre style="line-height: 1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">╥
║
│
┴</pre>
|<pre style="line-height: 1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">┬
│
│
┴</pre>
|<pre style="line-height: 1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">┐
│
│
┘</pre>
|Not enough room for note names.
|-
|Large vis
|<pre style="line-height: 1.1; font-family: monospace; font-size: 1em; padding-top: 0.1em; padding-bottom: 0.1em; margin: 0.1em">┌──┬─┬─┬─┬─┬─┬──┬──┬─┬─┬─┬──┬───┐
│░░│▒│░│▒│░│▒│░░│░░│▒│░│▒│░░│░░░│
│░░│▒│░│▒│░│▒│░░│░░│▒│░│▒│░░│░░░│
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└───┴───┴───┴───┴───┴───┴───┴───┘</pre>
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{| class="wikitable"
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! rowspan="2" |Visualization
! colspan="7" |Individual steps
! rowspan="2" | Notes
|-
!Start
!Size 1
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!End
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└──────┴──────┴──────┴──────┴──────┴──────┴──────┴──────┘
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| X's are placeholders for note names.
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===TAMNAMS use===
<blockquote>''This article assumes [[TAMNAMS]] conventions for naming scale degrees, intervals, and step ratios.''</blockquote>Names for the [[Degree|scale degrees]] of ''x''L ''y''s, the position of the scales tones, are called '''mosdegrees''', or '''''prefix''degrees'''. Its [[Interval|intervals]], the pitch difference between any two tones, are based on the number of large and small steps between them and are called '''mossteps''', or '''''prefix''steps'''. Both mosdegrees and mossteps use ''0-indexed'' numbering, as opposed to using ''1-indexed ordinals'', such as mos-1st instead of 0-mosstep. The use of 1-indexed ordinal names is discouraged for nondiatonic MOS scales.


===JI ratio intro===
===JI ratio intro===
For general ratios: '''m/n''', also called '''interval-name''', is a p-limit just intonation ratio of exactly/about r¢.
For general ratios: '''m/n''', also called '''interval-name''', is a p-limit just intonation ratio of exactly/about r¢.


Line 102: Line 645:
|-
|-
|Large step
|Large step
|2
| 2
|240¢
| 240¢
|3
|3
|276.9¢
| 276.9¢
|3
|3
|211.8¢
|211.8¢
Line 111: Line 654:
|-
|-
|Small step
|Small step
|1
| 1
|120¢
|120¢
|1
|1
Line 132: Line 675:
*Allow option to show the bright generator, dark generator, or no generator.
*Allow option to show the bright generator, dark generator, or no generator.
*JI ratios column only shows if there are any ratios to show
*JI ratios column only shows if there are any ratios to show
===Expanded MOS intro===
The following pieces of information may be worth adding:
*Distinguishing between TAMNAMS names from other, noteworthy non-TAMNAMS names. Equave-agnostic names can be treated as TAMNAMS name for appropriate mosses (EG, 4L 1s).
*The specific step pattern for the true mos. (The template will have a link to the page for rotations.)
*Simple edos (or ed<nowiki><p/q>) that support the mos.</nowiki>
*Support for TAMEX names, or how the mos relates to another, ancestral TAMNAMS-named mos. Extensions include chromatic, enharmonic, subchromatic, and descendant. This requires standardizing the naming scheme for descendant mosses before it can be added.
**'''TAMEX''' is short for '''temperament-agnostic moment-of-symmetry scale extension naming system'''.
*Whether the mos exhibits Rothenberg propriety.
====Base wording====
'''''x''L ''y''s<''p/q''>''', named '''''mosname''''' (also called '''''alt-mosname'''''), is a(n) ''equave-equivalent'' moment-of-symmetry scale containing ''x'' large steps(s) and ''y'' small step(s),  repeating every ''equave''. Modes of this scale are based on the step pattern of '''''step-pattern'''''. Equal divisions of the ''equave'' that support this scale include ''basic-ed'', ''hard-ed'', and ''soft-ed''. Generators that produce this scale range from ''g1''¢ to ''g2''¢, or from ''d1''¢ or ''d2''¢.
'''''nx''L ''ny''s<''p/q''>''''','' named '''''mosname''''' (also called '''''alt-mosname'''''), is a(n) ''equave-equivalent'' moment-of-symmetry scale, containing ''nx'' large steps(s) and ''ny'' small step(s), with a period of ''x'' large step(s) and ''y'' small steps(s) that repeats every ''equave-fraction'', or ''n times'' every ''equave''. Modes of this scale are based on the step pattern of '''''step-pattern'''''. Equal divisions of the ''equave'' that support this scale include ''basic-ed'', ''hard-ed'', and ''soft-ed''. Generators that produce this scale range from ''g1''¢ to ''g2''¢, or from ''d1''¢ or ''d2''¢.
==== Supplemental info ====
For monosmall and monosmall-per-period mosses: Scales of this form always exhibit Rothenberg propriety because there is only one small step per period.
For mosses that descend from a TAMNAMS-named mos: xL ys<nowiki><p/q> is a k</nowiki>''th-order'' ''descendant'' scale of '''zL ws<nowiki><p/q></nowiki>''', an extension of zL ws<nowiki><p/q> scales with a </nowiki>''step-ratio-range'' step ratio.
====Examples ====
'''5L 7s''', also called '''p-chromatic''', is an octave-equivalent moment of symmetry scale containing 5 large steps and 7 small steps, repeating every octave. 5L 7s is a '''chromatic scale of 5L 2s''', an extension of 5L 2s scales with a hard-of-basic step ratio. Equal divisions of the octave that support this scale's step pattern include 17edo, 22edo, and 29edo. Generators that produce this scale range from 700¢ to 720¢, or from 480¢ to 500¢. 
===Mbox template test===
These would be their own templates.


===Mos ancestors and descendants===
===Mos ancestors and descendants===
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|-
|-
|(x+y)L (2x+y)s
|(x+y)L (2x+y)s
|}
== Encoding scheme for module:mos==
=== Mossteps as a vector of L's and s's===
For an arbitrary step sequence consisting of L's and s's, the sum of the quantities of L's and s's denotes what mosstep it is. EG, "LLLsL" is a 5-mosstep since it has 5 L's and s's total. This can be expressed as a vector denoting how many L's and s's there are. EG, "LLLsL" becomes { 4, 1 }, denoting 4 large steps and 1 small step.
Alterations by adding a chroma always adds one L and subtracts one s (or subtracts one L and adds one s, if lowering by a chroma), so the sum of L's and s's, even if one of the quantities is negative, will always denote what ''k''-mosstep that interval is. EG, raising "LLLsL" by a chroma produces the vector { 5, 0 }, and raising it by another chroma produces the vector { 6, -1 }.
Through this, the "original size" of the interval can always be deduced.
EG, the vector { 6, -2 } is given, assuming a mos of 5L 2s. Adding 6 and -2 shows that the interval is a 4-mosstep. Taking the brightest mode of 5L 2s (LLLsLLs) and truncating it to the first 4 steps (LLLs), the corresponding vector is { 3, 1 }. This is the vector to compare to. Subtracting the given vector from the comparison vector ( as { 6-3, -2-1 }) produces the vector { 3, -3 }, meaning that { 6, -2 } is the large 4-mosstep raised by 3 chromas. (A shortcut can be employed by simply subtracting only the L-values.) The decoding scheme below shows how the "large 4-mosstep plus 3 chromas" can be decoded into more familiar terms. In this example, since the large 4-mosstep is the perfect bright generator, adding 3 chromas makes it triply augmented.
{| class="wikitable"
|+Encoding scheme
! rowspan="2" |Value
! colspan="2" |Encoded
! colspan="4" | Decoded
|-
!Intervals with 2 sizes
!Intervals with 1 size
!Nonperfectable intervals
!Bright gen
!Dark gen
!Period intervals
|-
|2
|Large plus 2 chromas
|Perfect plus 2 chromas
|2× Augmented
|2× Augmented
|3× Augmented
|2× Augmented
|-
|1
|Large plus 1 chroma
|Perfect plus 1 chroma
|Augmented
|Augmented
|2× Augmented
|Augmented
|-
|0
|'''Large'''
|'''Perfect'''
|'''Major'''
|'''Perfect'''
|'''Augmented'''
|'''Perfect'''
|-
| -1
|'''Small'''
|Perfect minus 1 chroma
|'''Minor'''
|'''Diminished'''
|'''Perfect'''
|Diminished
|-
| -2
|Small minus 1 chroma
|Perfect minus 2 chromas
|Diminished
|2× Diminished
|Diminished
|2× Diminished
|-
| -3
|Small minus 2 chromas
|Perfect minus 3 chromas
|2× Diminished
|3× Diminished
|2× Diminished
| 3× Diminished
|}
Rationale:
*Vectors of L's and s's can always be translated back to the original ''k''-mosstep, no matter how many chromas were added. The "unmodified" vector (the large ''k''-mosstep, or perfect ''k''-mosstep for period intervals) can be compared with the mosstep vector to produce the number of chromas.
**Alterations by entire large steps or small steps is considered interval arithmetic.
* Easy to translate values to number of chromas for mos notation. Best done with notation assigned to the brightest mode, but can be adapted for arbitrary notations by adjusting the approprite chroma offsets.
Examples of encodings for 5L 2s
{| class="wikitable"
|+Interval encodings for 5L 2s
! rowspan="2" |Interval in mossteps
! colspan="2" |Encoding
! rowspan="2" |Decoding
! rowspan="2" |Standard notation in the key of F
|-
!Mossteps
! Chroma
|-
|0
|0
| 0
|Perfect 0-diastep
| F
|-
|s
|1
|  -1
|Minor 1-diastep
|Gb
|-
| L
|1
|0
|Major 1-diastep
|G
|-
|L + s
|2
| -1
|Minor 2-diastep
|Ab
|-
|2L
|2
|0
|Major 2-diastep
|A
|-
|2L + s
|3
| -1
| Perfect 3-diastep
|Bb
|-
|3L
| 3
|0
|Augmented 3-diastep
|B
|-
|2L + 2s
|4
| -1
|Diminished 4-diastep
|Cb
|-
|3L + s
|4
|0
|Perfect 4-diastep
|C
|-
| 3L + 2s
|5
| -1
|Minor 5-diastep
|Db
|-
|4L + s
|5
|0
|Major 5-diastep
|D
|-
|4L + 2s
|6
| -1
|Minor 6-diastep
|Eb
|-
|5L + s
|6
|0
| Major 6-diastep
|E
|-
|5L + 2s
|7
|0
|Perfect 7-diastep
|F
|}
{| class="wikitable sortable"
! colspan="2" |Mode names
! colspan="2" |Ordering
! rowspan="2" |Step pattern
! colspan="8" |Scale degree (encoded)
|-
!Default
!Names
!Bri.
!Rot.
!0
!1
!2
!3
!4
!5
! 6
!7
|-
|<nowiki>5L 2s 6|0</nowiki>
|Lydian
|1
|1
|LLLsLLs
|0
|0
|0
|0
|0
|0
|0
|0
|-
|<nowiki>5L 2s 5|1</nowiki>
|Ionian (major)
|2
|5
|LLsLLLs
|0
|0
|0
| -1
|0
|0
|0
|0
|-
|<nowiki>5L 2s 4|2</nowiki>
|Mixolydian
|3
|2
|LLsLLsL
|0
|0
|1
| -1
|0
|0
| -1
|0
|-
|<nowiki>5L 2s 3|3</nowiki>
|Dorian
|4
|6
|LsLLLsL
|0
|0
| -1
| -1
|0
|0
| -1
|0
|-
|<nowiki>5L 2s 2|4</nowiki>
|Aeolian (minor)
|5
|3
|LsLLsLL
|0
|0
| -1
| -1
|0
| -1
| -1
|0
|-
|<nowiki>5L 2s 1|5</nowiki>
|Phrygian
|6
|7
|sLLLsLL
|0
| -1
| -1
| -1
|0
| -1
| -1
|0
|-
|<nowiki>5L 2s 0|6</nowiki>
|Locrian
| 7
|4
|sLLsLLL
|0
| -1
| -1
| -1
| -1
| -1
| -1
|0
|}
|}
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