User:Ganaram inukshuk/Sandbox: Difference between revisions
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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.) | ||
== Mos intervals and mos interval HE == | == MOS tunings== | ||
{{MOS tunings|Scale Signature=5L 3s}} | |||
{{MOS tunings|Scale Signature=5L 4s}} | |||
==Mos intervals and mos interval HE== | |||
{{MOS intervals|Scale Signature=5L 2s}} | {{MOS intervals|Scale Signature=5L 2s}} | ||
{{MOS interval HE|Scale Signature=5L 2s}} | {{MOS interval HE|Scale Signature=5L 2s}} | ||
== Name == | ==Name== | ||
=== 6-note mosses === | ===6-note mosses=== | ||
{{Template:TAMNAMS name|1L 5s}} | {{Template:TAMNAMS name|1L 5s}} | ||
| Line 18: | Line 22: | ||
{{Template:TAMNAMS name|5L 1s}} | {{Template:TAMNAMS name|5L 1s}} | ||
=== 7-note mosses === | ===7-note mosses=== | ||
{{Template:TAMNAMS name|1L 6s}} | {{Template:TAMNAMS name|1L 6s}} | ||
| Line 31: | Line 35: | ||
{{Template:TAMNAMS name|6L 1s}} | {{Template:TAMNAMS name|6L 1s}} | ||
=== 8-note mosses === | ===8-note mosses=== | ||
{{Template:TAMNAMS name|1L 7s}} | {{Template:TAMNAMS name|1L 7s}} | ||
| Line 46: | Line 50: | ||
{{Template:TAMNAMS name|7L 1s}} | {{Template:TAMNAMS name|7L 1s}} | ||
=== 9-note mosses === | ===9-note mosses=== | ||
{{Template:TAMNAMS name|1L 8s}} | {{Template:TAMNAMS name|1L 8s}} | ||
| Line 63: | Line 67: | ||
{{Template:TAMNAMS name|8L 1s}} | {{Template:TAMNAMS name|8L 1s}} | ||
=== 10-note mosses === | ===10-note mosses=== | ||
{{Template:TAMNAMS name|1L 9s}} | {{Template:TAMNAMS name|1L 9s}} | ||
| Line 82: | Line 86: | ||
{{Template:TAMNAMS name|9L 1s}} | {{Template:TAMNAMS name|9L 1s}} | ||
== Scale data == | ==Scale data== | ||
{{MOS scale properties|Scale Signature=5L 5s}} | {{MOS scale properties|Scale Signature=5L 5s}} | ||
==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 99: | Line 103: | ||
{{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 === | ||
<div style="height: 100px; width: 100%; background-color: powderblue; font-size: 0;"> | <div style="height: 100px; width: 100%; background-color: powderblue; font-size: 0;"> | ||
| Line 144: | Line 148: | ||
</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 225: | Line 229: | ||
|Perfect 0-diastep | |Perfect 0-diastep | ||
|0 | |0 | ||
|0.0¢ | | 0.0¢ | ||
|P0ms | |P0ms | ||
|- | |- | ||
| Line 235: | Line 239: | ||
|- | |- | ||
|Large 1-diastep | |Large 1-diastep | ||
|L | | L | ||
|171.4¢ to 240.0¢ | |171.4¢ to 240.0¢ | ||
|L1ms | |L1ms | ||
|- | |- | ||
| rowspan="2" | 2-diastep | | rowspan="2" |2-diastep | ||
|Small 2-diastep | |Small 2-diastep | ||
|L + s | |L + s | ||
|240.0¢ to 342.9¢ | | 240.0¢ to 342.9¢ | ||
|s2ms | |s2ms | ||
|- | |- | ||
|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 257: | Line 261: | ||
|- | |- | ||
|Large 3-diastep | |Large 3-diastep | ||
|3L | | 3L | ||
|514.3¢ to 720.0¢ | |514.3¢ to 720.0¢ | ||
|L3ms | | L3ms | ||
|- | |- | ||
| 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 | ||
| Line 272: | Line 276: | ||
|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 285: | Line 289: | ||
| rowspan="2" |6-diastep | | rowspan="2" |6-diastep | ||
|Small 6-diastep | |Small 6-diastep | ||
|4L + 2s | | 4L + 2s | ||
|960.0¢ to 1028.6¢ | |960.0¢ to 1028.6¢ | ||
|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 310: | Line 314: | ||
|- | |- | ||
!Default | !Default | ||
! Names | !Names | ||
!Bri. | !Bri. | ||
! Rot. | !Rot. | ||
!0 | !0 | ||
!1 | !1 | ||
| Line 343: | Line 347: | ||
|Perf. | |Perf. | ||
|Lg. | |Lg. | ||
|Lg. | | Lg. | ||
|Sm. | |Sm. | ||
|Lg. | |Lg. | ||
| Line 357: | Line 361: | ||
|Perf. | |Perf. | ||
|Lg. | |Lg. | ||
|Lg. | | Lg. | ||
|Sm. | |Sm. | ||
|Lg. | |Lg. | ||
| Line 371: | Line 375: | ||
|Perf. | |Perf. | ||
|Lg. | |Lg. | ||
|Sm. | | Sm. | ||
|Sm. | |Sm. | ||
|Lg. | |Lg. | ||
|Lg. | |Lg. | ||
|Sm. | |Sm. | ||
|Perf. | | Perf. | ||
|- | |- | ||
|<nowiki>5L 2s 2|4</nowiki> | |<nowiki>5L 2s 2|4</nowiki> | ||
| Line 385: | Line 389: | ||
|Perf. | |Perf. | ||
|Lg. | |Lg. | ||
|Sm. | | Sm. | ||
|Sm. | |Sm. | ||
|Lg. | |Lg. | ||
| Line 399: | Line 403: | ||
|Perf. | |Perf. | ||
|Sm. | |Sm. | ||
|Sm. | | Sm. | ||
|Sm. | |Sm. | ||
|Lg. | |Lg. | ||
| Line 412: | Line 416: | ||
|sLLsLLL | |sLLsLLL | ||
|Perf. | |Perf. | ||
| Sm. | |||
|Sm. | |Sm. | ||
| Sm. | |||
|Sm. | |||
|Sm. | |Sm. | ||
|Sm. | |Sm. | ||
| Line 500: | Line 504: | ||
! rowspan="2" |Visualization | ! rowspan="2" |Visualization | ||
! colspan="7" |Individual steps | ! colspan="7" |Individual steps | ||
! rowspan="2" |Notes | ! rowspan="2" | Notes | ||
|- | |- | ||
!Start | !Start | ||
| Line 673: | Line 677: | ||
! 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 695: | Line 699: | ||
|92.3¢ | |92.3¢ | ||
|2 | |2 | ||
| 141.2¢ | |141.2¢ | ||
| | | | ||
|- | |- | ||
| Line 717: | Line 721: | ||
!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 728: | Line 732: | ||
|(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 778: | Line 782: | ||
</div> | </div> | ||
==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 792: | Line 796: | ||
! rowspan="2" |Value | ! rowspan="2" |Value | ||
! colspan="2" |Encoded | ! colspan="2" |Encoded | ||
! colspan="4" |Decoded | ! colspan="4" | Decoded | ||
|- | |- | ||
!Intervals with 2 sizes | !Intervals with 2 sizes | ||
!Intervals with 1 size | !Intervals with 1 size | ||
!Nonperfectable intervals | !Nonperfectable intervals | ||
!Bright gen | ! Bright gen | ||
!Dark gen | !Dark gen | ||
!Period intervals | !Period intervals | ||
|- | |- | ||
|2 | |2 | ||
| Large plus 2 chromas | |Large plus 2 chromas | ||
|Perfect plus 2 chromas | |Perfect plus 2 chromas | ||
|2× Augmented | |2× Augmented | ||
| Line 811: | Line 815: | ||
|1 | |1 | ||
|Large plus 1 chroma | |Large plus 1 chroma | ||
|Perfect plus 1 chroma | | Perfect plus 1 chroma | ||
|Augmented | |Augmented | ||
|Augmented | |Augmented | ||
| Line 825: | Line 829: | ||
|'''Perfect''' | |'''Perfect''' | ||
|- | |- | ||
| | | -1 | ||
|'''Small''' | |'''Small''' | ||
|Perfect minus 1 chroma | |Perfect minus 1 chroma | ||
| Line 838: | Line 842: | ||
|Diminished | |Diminished | ||
|2× Diminished | |2× Diminished | ||
|Diminished | | Diminished | ||
|2× Diminished | |2× Diminished | ||
|- | |- | ||
| -3 | | -3 | ||
| Small minus 2 chromas | |Small minus 2 chromas | ||
|Perfect minus 3 chromas | |Perfect minus 3 chromas | ||
|2× Diminished | |2× Diminished | ||
| Line 854: | Line 858: | ||
**Alterations by entire large steps or small steps is considered interval arithmetic. | **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. | * 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 | Examples of encodings for 5L 2s | ||
| Line 885: | Line 889: | ||
|G | |G | ||
|- | |- | ||
|L + s | | L + s | ||
|2 | |2 | ||
| -1 | | -1 | ||
| Line 906: | Line 910: | ||
|3 | |3 | ||
|0 | |0 | ||
|Augmented 3-diastep | | Augmented 3-diastep | ||
|B | | B | ||
|- | |- | ||
|2L + 2s | |2L + 2s | ||
| Line 925: | Line 929: | ||
| -1 | | -1 | ||
|Minor 5-diastep | |Minor 5-diastep | ||
|Db | | Db | ||
|- | |- | ||
|4L + s | |4L + s | ||
| Line 958: | Line 962: | ||
|- | |- | ||
!Default | !Default | ||
!Names | ! Names | ||
!Bri. | !Bri. | ||
!Rot. | !Rot. | ||
| Line 1,019: | Line 1,023: | ||
|0 | |0 | ||
|0 | |0 | ||
| -1 | | -1 | ||
| -1 | | -1 | ||
|0 | |0 | ||