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User:Ganaram inukshuk/Sandbox: Difference between revisions

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Line 3: Line 3:
== Name ==
== Name ==
{{User:Ganaram inukshuk/Template:TAMNAMS name|1L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|1L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 4s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|3L 3s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|4L 2s}}


{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 1s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 1s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|1L 6s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|3L 4s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|4L 3s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 2s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|6L 1s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|1L 7s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 6s}}


{{User:Ganaram inukshuk/Template:TAMNAMS name|3L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|3L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|4L 4s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 3s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|6L 2s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|7L 1s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|1L 8s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 7s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|3L 6s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|4L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 4s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|6L 3s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|7L 2s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|8L 1s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|1L 9s}}


{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 8s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 8s}}


{{User:Ganaram inukshuk/Template:TAMNAMS name|2L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|3L 7s}}
 
{{User:Ganaram inukshuk/Template:TAMNAMS name|4L 6s}}


{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|5L 5s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|6L 4s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|7L 3s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|8L 2s}}
{{User:Ganaram inukshuk/Template:TAMNAMS name|9L 1s}}


{{MOS scale properties|Scale Signature=5L 3s}}
{{MOS scale properties|Scale Signature=5L 3s}}


== 5L 2s modes and modmos modes==
==5L 2s modes and modmos modes==
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=cscscsscscss}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=cscscsscscss}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
Line 25: Line 85:
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LALdLAd}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LALdLAd}}


== 4L 4s modes and modmos modes ==
==4L 4s modes and modmos modes==
{{MOS mode degrees|Scale Signature=4L 4s}}
{{MOS mode degrees|Scale Signature=4L 4s}}
{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLLss}}
{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLLss}}
{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLsLs}}
{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLsLs}}


==Sandbox for proposed templates==
== Sandbox for proposed templates==
===Cent ruler===
===Cent ruler===


Line 75: Line 135:
</div>
</div>


===MOS characteristics===
=== MOS characteristics===
NOTE: not suitable for displaying intervals or scale degrees. Repurpose for other content.<div style="  display: block;
NOTE: not suitable for displaying intervals or scale degrees. Repurpose for other content.<div style="  display: block;
   background-color: #dddddd;
   background-color: #dddddd;
Line 162: Line 222:
|Small 1-diastep
|Small 1-diastep
|s
|s
| 0.0¢ to 171.4¢
|0.0¢ to 171.4¢
|s1ms
|s1ms
|-
|-
Line 170: Line 230:
|L1ms
|L1ms
|-
|-
| rowspan="2" |2-diastep
| rowspan="2" | 2-diastep
|Small 2-diastep
|Small 2-diastep
|L + s
|L + s
Line 177: Line 237:
|-
|-
|Large 2-diastep
|Large 2-diastep
|2L
| 2L
|342.9¢ to 480.0¢
|342.9¢ to 480.0¢
|L2ms
| L2ms
|-
|-
| rowspan="2" |'''3-diastep'''
| rowspan="2" |'''3-diastep'''
Line 194: Line 254:
| rowspan="2" |'''4-diastep'''
| rowspan="2" |'''4-diastep'''
|Small 4-diastep
|Small 4-diastep
|2L + 2s
| 2L + 2s
|480.0¢ to 685.7¢
|480.0¢ to 685.7¢
|s4ms
|s4ms
|-
|-
|'''Large 4-diastep'''
|'''Large 4-diastep'''
| 3L + s
|3L + s
|685.7¢ to 720.0¢
|685.7¢ to 720.0¢
|L4ms
|L4ms
|-
|-
| rowspan="2" |5-diastep
| rowspan="2" |5-diastep
|Small 5-diastep
| Small 5-diastep
| 3L + 2s
|3L + 2s
|720.0¢ to 857.1¢
| 720.0¢ to 857.1¢
|s5ms
| s5ms
|-
|-
|Large 5-diastep
|Large 5-diastep
Line 220: Line 280:
|s6ms
|s6ms
|-
|-
| Large 6-diastep
|Large 6-diastep
|5L + s
| 5L + s
|1028.6¢ to 1200.0¢
|1028.6¢ to 1200.0¢
|L6ms
|L6ms
Line 241: Line 301:
|-
|-
!Default
!Default
!Names
! Names
!Bri.
!Bri.
!Rot.
! Rot.
!0
!0
!1
!1
Line 260: Line 320:
|Perf.
|Perf.
|Lg.
|Lg.
|Lg.
| Lg.
|Lg.
|Lg.
|Lg.
|Lg.
Line 279: Line 339:
|Lg.
|Lg.
|Lg.
|Lg.
| Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 4|2</nowiki>
|<nowiki>5L 2s 4|2</nowiki>
Line 321: Line 381:
|Sm.
|Sm.
|Sm.
|Sm.
| Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 1|5</nowiki>
|<nowiki>5L 2s 1|5</nowiki>
Line 331: Line 391:
|Sm.
|Sm.
|Sm.
|Sm.
| Sm.
|Sm.
|Lg.
|Lg.
|Sm.
|Sm.
|Sm.
|Sm.
| Perf.
|Perf.
|-
|-
|<nowiki>5L 2s 0|6</nowiki>
|<nowiki>5L 2s 0|6</nowiki>
Line 347: Line 407:
|Sm.
|Sm.
|Sm.
|Sm.
| Sm.
|Sm.
|Sm.
|Sm.
|Perf.
|Perf.
Line 358: Line 418:
! rowspan="2" |Visualization
! rowspan="2" |Visualization
! colspan="4" |Individual steps
! colspan="4" |Individual steps
! rowspan="2" | Notes
! rowspan="2" |Notes
|-
|-
!Start
!Start
!Large step
!Large step
!Small step
!Small step
! End
!End
|-
|-
|Small vis
|Small vis
Line 604: Line 664:
! rowspan="2" |Approx. JI ratios
! rowspan="2" |Approx. JI ratios
|-
|-
!Steps
! Steps
!Cents
!Cents
!Steps
!Steps
!Cents
!Cents
!Steps
!Steps
!Cents
! Cents
|-
|-
|Large step
|Large step
Line 624: Line 684:
|120¢
|120¢
|1
|1
| 92.3¢
|92.3¢
|2
|2
| 141.2¢
| 141.2¢
Line 648: Line 708:
!1st ancestor
!1st ancestor
!Mos
!Mos
!1st descendants
! 1st descendants
!2nd descendants
!2nd descendants
|-
|-
| rowspan="4" |uL vs
| rowspan="4" | uL vs
| rowspan="4" |zL ws
| rowspan="4" |zL ws
| rowspan="4" |xL ys
| rowspan="4" |xL ys
Line 659: Line 719:
|(2x+y)L xs
|(2x+y)L xs
|-
|-
| rowspan="2" |(x+y)L xs
| rowspan="2" | (x+y)L xs
|(2x+y)L (x+y)s
|(2x+y)L (x+y)s
|-
|-
Line 711: Line 771:
==Encoding scheme for module:mos==
==Encoding scheme for module:mos==


=== Mossteps as a vector of L's and s's===
===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.
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.


Line 733: Line 793:
|-
|-
|2
|2
|Large plus 2 chromas
| Large plus 2 chromas
|Perfect plus 2 chromas
|Perfect plus 2 chromas
|2× Augmented
|2× Augmented
Line 773: Line 833:
|-
|-
| -3
| -3
|Small minus 2 chromas
| Small minus 2 chromas
|Perfect minus 3 chromas
|Perfect minus 3 chromas
|2× Diminished
|2× Diminished
Line 782: Line 842:
Rationale:
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.
*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.
**Alterations by entire large steps or small steps is considered interval arithmetic.


Line 798: Line 858:
!Chroma
!Chroma
|-
|-
| 0
|0
|0
|0
|0
|0
Line 804: Line 864:
|F
|F
|-
|-
| s
|s
|1
|1
| -1
| -1
Line 835: Line 895:
|-
|-
|3L
|3L
| 3
|3
|0
|0
|Augmented 3-diastep
|Augmented 3-diastep
Line 841: Line 901:
|-
|-
|2L + 2s
|2L + 2s
| 4
|4
| -1
| -1
|Diminished 4-diastep
|Diminished 4-diastep
Line 872: Line 932:
|5L + s
|5L + s
|6
|6
| 0
|0
|Major 6-diastep
|Major 6-diastep
|E
|E
Line 907: Line 967:
|LLLsLLs
|LLLsLLs
|0
|0
| 0
|0
| 0
|0
|0
|0
|0
|0
Line 921: Line 981:
|LLsLLLs
|LLsLLLs
|0
|0
| 0
|0
| 0
|0
| -1
| -1
|0
|0
Line 935: Line 995:
|LLsLLsL
|LLsLLsL
|0
|0
| 0
|0
| 1
|1
| -1
| -1
|0
|0
Line 947: Line 1,007:
|4
|4
|6
|6
| LsLLLsL
|LsLLLsL
|0
|0
|0
|0
Line 966: Line 1,026:
| -1
| -1
| -1
| -1
| 0
|0
| -1
| -1
| -1
| -1
Line 972: Line 1,032:
|-
|-
|<nowiki>5L 2s 1|5</nowiki>
|<nowiki>5L 2s 1|5</nowiki>
| Phrygian
|Phrygian
| 6
|6
|7
|7
|sLLLsLL
|sLLLsLL
Retrieved from "https://en.xen.wiki/w/User:Ganaram_inukshuk/Sandbox"