Xenharmonic Wiki

User:Ganaram inukshuk/Sandbox: Difference between revisions

← Older editNewer edit →
VisualWikitext
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
No edit summary
Ganaram inukshuk (talk | contribs)
autopatrolled, emailconfirmed
4,810 edits
Line 2: Line 2:


== Scale properties templates ==
== Scale properties templates ==
{{MOS intervals|Scale Signature=5L 3s}}{{MOS genchain|Scale Signature=5L 3s}}
{{MOS intervals
|Scale Signature=5L 3s
|MOS Prefix = test
|MOS Abbrev = ts
}}


{{MOS mode degrees|Scale Signature=5L 3s}}
{{MOS genchain
|Scale Signature=5L 3s
|MOS Prefix = test
|MOS Abbrev = ts
}}


== 5L 2s modes and modmos modes ==
{{MOS mode degrees
{{MOS mode degrees|Scale Signature=5L 2s}}{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs}}{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LLsLsAs}}
|Scale Signature=5L 3s
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=AAdAdAd}}{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LLLLLLd}}{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LALdLAd}}
|MOS Prefix = test
|MOS Abbrev = ts
}}
 
 
== 5L 2s modes and modmos modes==
{{MOS mode degrees|Scale Signature=5L 2s}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LsLLLLs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LLsLsAs}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=AAdAdAd}}
{{MOS mode degrees|Scale Signature=5L 2s|MODMOS Step Pattern=LLLLLLd}}
{{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|MODMOS Step Pattern=LLssLLss}}{{MOS mode degrees|Scale Signature=4L 4s|MODMOS Step Pattern=LLssLsLs}}
{{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=LLssLsLs}}


==Sandbox for proposed templates==
==Sandbox for proposed templates==
Line 45: Line 67:


<div style="height: 100px; width: 1200px; background-color: powderblue; font-size: 0;">
<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 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>


Line 145: Line 167:
|Small 1-diastep
|Small 1-diastep
|s
|s
|0.0¢ to 171.4¢
| 0.0¢ to 171.4¢
|s1ms
|s1ms
|-
|-
Line 153: Line 175:
|L1ms
|L1ms
|-
|-
| rowspan="2" | 2-diastep
| rowspan="2" |2-diastep
|Small 2-diastep
|Small 2-diastep
|L + s
|L + s
Line 160: Line 182:
|-
|-
|Large 2-diastep
|Large 2-diastep
| 2L
|2L
|342.9¢ to 480.0¢
|342.9¢ to 480.0¢
|L2ms
|L2ms
Line 177: Line 199:
| 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
Line 188: Line 210:
| 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
Line 205: Line 227:
| Large 6-diastep
| Large 6-diastep
|5L + s
|5L + s
| 1028.6¢ to 1200.0¢
|1028.6¢ to 1200.0¢
|L6ms
|L6ms
|-
|-
Line 212: Line 234:
|5L + 2s
|5L + 2s
|1200.0¢
|1200.0¢
| P7ms
|P7ms
|}
|}


Line 262: Line 284:
|Lg.
|Lg.
|Lg.
|Lg.
|Perf.
| Perf.
|-
|-
|<nowiki>5L 2s 4|2</nowiki>
|<nowiki>5L 2s 4|2</nowiki>
Line 304: Line 326:
|Sm.
|Sm.
|Sm.
|Sm.
|Perf.
| Perf.
|-
|-
|<nowiki>5L 2s 1|5</nowiki>
|<nowiki>5L 2s 1|5</nowiki>
|Phrygian
|Phrygian
|6
|6
| 7
|7
|sLLLsLL
|sLLLsLL
|Perf.
|Perf.
|Sm.
|Sm.
|Sm.
|Sm.
|Sm.
| Sm.
|Lg.
|Lg.
|Sm.
|Sm.
Line 326: Line 348:
|sLLsLLL
|sLLsLLL
|Perf.
|Perf.
| Sm.
|Sm.
|Sm.
|Sm.
|Sm.
|Sm.
Line 332: Line 354:
| Sm.
| Sm.
|Sm.
|Sm.
| Perf.
|Perf.
|}
|}


===KB vis ===
===KB vis===
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 341: Line 363:
! 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 413: Line 435:
! rowspan="2" |Type
! rowspan="2" |Type
! rowspan="2" |Visualization
! rowspan="2" |Visualization
! colspan="7" | Individual steps
! colspan="7" |Individual steps
! rowspan="2" |Notes
! rowspan="2" |Notes
|-
|-
Line 579: Line 601:
|+3L 4s step sizes
|+3L 4s step sizes
! rowspan="2" |Interval
! rowspan="2" |Interval
! colspan="2" | Basic 3L 4s
! colspan="2" |Basic 3L 4s
(10edo, L:s = 2:1)
(10edo, L:s = 2:1)
! colspan="2" |Hard 3L 4s
! colspan="2" |Hard 3L 4s
Line 599: Line 621:
|3
|3
|276.9¢
|276.9¢
| 3
|3
|211.8¢
|211.8¢
|Hide column if no ratios given
|Hide column if no ratios given
Line 607: Line 629:
|120¢
|120¢
|1
|1
|92.3¢
| 92.3¢
|2
|2
|141.2¢
| 141.2¢
|
|
|-
|-
| Bright generator
|Bright generator
|3
|3
|360¢
|360¢
Line 626: Line 648:
*JI ratios column only shows if there are any ratios to show
*JI ratios column only shows if there are any ratios to show


===Mos ancestors and descendants ===
===Mos ancestors and descendants===
{| class="wikitable"
{| class="wikitable"
!2nd ancestor
!2nd ancestor
Line 692: Line 714:
</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 706: Line 728:
! 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
Line 721: Line 743:
|2× Augmented
|2× Augmented
|3× Augmented
|3× Augmented
| 2× Augmented
|2× Augmented
|-
|-
|1
|1
Line 739: Line 761:
|'''Perfect'''
|'''Perfect'''
|-
|-
| -1
| -1
|'''Small'''
|'''Small'''
|Perfect minus 1 chroma
|Perfect minus 1 chroma
Line 748: Line 770:
|-
|-
| -2
| -2
| Small minus 1 chroma
|Small minus 1 chroma
|Perfect minus 2 chromas
|Perfect minus 2 chromas
| Diminished
|Diminished
|2× Diminished
|2× Diminished
|Diminished
|Diminished
Line 759: Line 781:
|Perfect minus 3 chromas
|Perfect minus 3 chromas
|2× Diminished
|2× Diminished
| 3× Diminished
|3× Diminished
|2× Diminished
|2× Diminished
|3× Diminished
|3× Diminished
Line 765: Line 787:
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 781: Line 803:
!Chroma
!Chroma
|-
|-
|0
| 0
|0
|0
|0
|0
Line 787: Line 809:
|F
|F
|-
|-
|s
| s
|1
|1
| -1
| -1
Line 793: Line 815:
|Gb
|Gb
|-
|-
| L
|L
|1
|1
|0
|0
Line 818: Line 840:
|-
|-
|3L
|3L
|3
| 3
|0
|0
|Augmented 3-diastep
|Augmented 3-diastep
Line 824: Line 846:
|-
|-
|2L + 2s
|2L + 2s
|4
| 4
| -1
| -1
|Diminished 4-diastep
|Diminished 4-diastep
Line 839: Line 861:
| -1
| -1
|Minor 5-diastep
|Minor 5-diastep
| Db
|Db
|-
|-
|4L + s
|4L + s
Line 847: Line 869:
|D
|D
|-
|-
| 4L + 2s
|4L + 2s
|6
|6
| -1
| -1
Line 855: Line 877:
|5L + s
|5L + s
|6
|6
|0
| 0
|Major 6-diastep
|Major 6-diastep
|E
|E
Line 890: Line 912:
|LLLsLLs
|LLLsLLs
|0
|0
|0
| 0
|0
| 0
|0
|0
|0
|0
Line 904: Line 926:
|LLsLLLs
|LLsLLLs
|0
|0
|0
| 0
|0
| 0
| -1
| -1
|0
|0
Line 918: Line 940:
|LLsLLsL
|LLsLLsL
|0
|0
|0
| 0
|1
| 1
| -1
| -1
|0
|0
Line 930: Line 952:
|4
|4
|6
|6
|LsLLLsL
| LsLLLsL
|0
|0
|0
|0
Line 942: Line 964:
|<nowiki>5L 2s 2|4</nowiki>
|<nowiki>5L 2s 2|4</nowiki>
|Aeolian (minor)
|Aeolian (minor)
| 5
|5
|3
|3
|LsLLsLL
|LsLLsLL
Line 949: Line 971:
| -1
| -1
| -1
| -1
|0
| 0
| -1
| -1
| -1
| -1
Line 955: Line 977:
|-
|-
|<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"