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12L 5s: Difference between revisions

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{{Todo|review|inline=1|text=Adopt scale tree template, add note that mode names are tuning-specific (they only apply to specific tunings)}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro|Other Names=p-enharmonic}}
{{MOS intro|Other Names=p-enharmonic}}
Temperaments supported by this scale include those under the [[Pythagorean tuning|Pythagorean]] and [[Schismatic family|schismic]] families, characterized by a diesis (the difference between a large step and two small steps) that is smaller than the [[chroma]].
Temperaments supported by this scale include those under the [[Pythagorean tuning|Pythagorean]] and [[Schismatic family|schismic]] families, characterized by a diesis (the difference between a large step and two small steps) that is smaller than the [[chroma]].
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The [[leapday]]/[[leapweek]] version is proper, but the Pythagorean/schismic version is improper (it does not become proper until you add 12 more notes to form the schismic 29-note scale).
The [[leapday]]/[[leapweek]] version is proper, but the Pythagorean/schismic version is improper (it does not become proper until you add 12 more notes to form the schismic 29-note scale).


== Modes ==
== Scale properties ==
Mode names are borrowed from the [[Subaru scale]], proposed by [[Declan Paul Boushy]].
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}
 
=== Proposed tuning-specific names ===
[[Declan Paul Boushy]] has proposed names for these modes corresponding to step ratios [[Subaru scale|3:1]] and [[Tanegashima scale|4:1]].
{{todo|add etymology|add Template:MOS modes and annotate each row using Boushy’s names}}


{| class="wikitable"
! Mode
! UDP
! Mode name
|-
| LLLsLLsLLLsLLsLLs
| 16<nowiki>|</nowiki>0
| Harumi
|-
| LLLsLLsLLsLLLsLLs
| 15<nowiki>|</nowiki>1
| Yuzuha
|-
| LLsLLLsLLsLLLsLLs
| 14<nowiki>|</nowiki>2
| Maho
|-
| LLsLLLsLLsLLsLLLs
| 13<nowiki>|</nowiki>3
| Sakura
|-
| LLsLLsLLLsLLsLLLs
| 12<nowiki>|</nowiki>4
| Hanako
|-
| LLsLLsLLLsLLsLLsL
| 11<nowiki>|</nowiki>5
| Saori
|-
| LLsLLsLLsLLLsLLsL
| 10<nowiki>|</nowiki>6
| Machiko
|-
| LsLLLsLLsLLLsLLsL
| 9<nowiki>|</nowiki>7
| Sae
|-
| LsLLLsLLsLLsLLLsL
| 8<nowiki>|</nowiki>8
| Kaguya
|-
| LsLLsLLLsLLsLLLsL
| 7<nowiki>|</nowiki>9
| Nae
|-
| LsLLsLLLsLLsLLsLL
| 6<nowiki>|</nowiki>10
| Sachiko
|-
| LsLLsLLsLLLsLLsLL
| 5<nowiki>|</nowiki>11
| Kaori
|-
| sLLLsLLsLLLsLLsLL
| 4<nowiki>|</nowiki>12
| Kanako
|-
| sLLLsLLsLLsLLLsLL
| 3<nowiki>|</nowiki>13
| Sakurajima
|-
| sLLsLLLsLLsLLLsLL
| 2<nowiki>|</nowiki>14
| Kaho
|-
| sLLsLLLsLLsLLsLLL
| 1<nowiki>|</nowiki>15
| Suzuha
|-
| sLLsLLsLLLsLLsLLL
| 0<nowiki>|</nowiki>16
| Narumi
|}
== Scales ==
== Scales ==
* [[Edson17]] – 29edo tuning
* [[Edson17]] – 29edo tuning
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* [[Garibaldi17]] – 94edo tuning
* [[Garibaldi17]] – 94edo tuning
* [[Pythagorean17]] – Pythagorean tuning
* [[Pythagorean17]] – Pythagorean tuning
* [[Tanegashima scale]] – 53edo tuning
* [[Nestoria17]] – 171edo tuning
* [[Nestoria17]] – 171edo tuning


== Scale tree ==
== Scale tree ==
{{Scale tree|Comments=
{{MOS tuning spectrum
4/3: [[Leapfrog]];
| 4/3 = [[Leapfrog]]  
7/5: [[Leapweek]];
| 7/5 = [[Leapweek]]  
11/7: [[Leapday]] / [[polypyth]];
| 3/2 = [[Leapday]]  
13/8: Golden neogothic (495.9044¢);
| 11/7 = [[Polypyth]]  
7/3: [[Undecental]];
| 13/8 = Golden neogothic (495.904{{c}})  
12/5: Argent tuning (497.0563¢);
| 7/3 = [[Undecental]]  
13/5: Unnamed golden tuning (497.2540¢)
| 12/5 = Argent tuning (497.056{{c}})  
11/4: [[Kwai]];
| 13/5 = Unnamed golden tuning (497.254{{c}})  
3/1: [[Garibaldi]] / [[andromeda]];
| 11/4 = [[Kwai]]  
7/2: Garibaldi / [[cassandra]];
| 3/1 = [[Garibaldi]] / [[andromeda]]  
4/1: Garibaldi / [[helenus]], Pythagorean tuning (498.0450¢);
| 7/2 = Garibaldi / [[cassandra]]  
9/2: [[Pontiac]];
| 4/1 = Garibaldi / [[helenus]], Pythagorean tuning (498.045{{c}})  
5/1: [[Photia]];
| 9/2 = [[Pontiac]]  
6/1: ↓ [[Grackle]]
| 5/1 = [[Photia]]  
| 6/1 = ↓&nbsp;[[Grackle]], ↓↓&nbsp;[[gracecordial]]  
}}
}}


[[Category:17-tone scales]]
[[Category:17-tone scales]]
[[Category:Mega chromatic scales]]
[[Category:Mega chromatic scales]]
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