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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== Modes ==
== Modes ==
Mode names are borrowed from the [[Subaru scale]], proposed by [[Declan Paul Boushy]].
Mode names are borrowed from the [[Subaru scale]] and [[Tanegashima scale]], proposed by [[Declan Paul Boushy]].
{{MOS modes|Mode Names=Harumi; Yuzuha; Maho; Sakura; Hanako; Saori; Machiko; Sae; Kaguya; Nae; Sachiko; Kaori; Kanako; Sakurajima; Kaho; Suzuha; Narumi}}


{| 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

Revision as of 10:09, 7 August 2024

↖ 11L 4s ↑ 12L 4s 13L 4s ↗
← 11L 5s 12L 5s 13L 5s →
↙ 11L 6s ↓ 12L 6s 13L 6s ↘ 
┌╥╥╥┬╥╥┬╥╥╥┬╥╥┬╥╥┬┐
│║║║│║║│║║║│║║│║║││
│││││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLsLLLsLLsLLs
sLLsLLsLLLsLLsLLL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 7\17 to 5\12 (494.1 ¢ to 500.0 ¢)
Dark 7\12 to 10\17 (700.0 ¢ to 705.9 ¢)
TAMNAMS information
Related to 5L 2s (diatonic)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 5L 7s
Sister 5L 12s
Daughters 17L 12s, 12L 17s
Neutralized 7L 10s
2-Flought 29L 5s, 12L 22s
Equal tunings
Equalized (L:s = 1:1) 7\17 (494.1 ¢)
Supersoft (L:s = 4:3) 26\63 (495.2 ¢)
Soft (L:s = 3:2) 19\46 (495.7 ¢)
Semisoft (L:s = 5:3) 31\75 (496.0 ¢)
Basic (L:s = 2:1) 12\29 (496.6 ¢)
Semihard (L:s = 5:2) 29\70 (497.1 ¢)
Hard (L:s = 3:1) 17\41 (497.6 ¢)
Superhard (L:s = 4:1) 22\53 (498.1 ¢)
Collapsed (L:s = 1:0) 5\12 (500.0 ¢)

12L 5s, also called p-enharmonic, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 5 small steps, repeating every octave. 12L 5s is a grandchild scale of 5L 2s, expanding it by 10 tones. Generators that produce this scale range from 494.1 ¢ to 500 ¢, or from 700 ¢ to 705.9 ¢. Temperaments supported by this scale include those under the Pythagorean and schismic families, characterized by a diesis (the difference between a large step and two small steps) that is smaller than the chroma.

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

Mode names are borrowed from the Subaru scale and Tanegashima scale, proposed by Declan Paul Boushy.

Modes of 12L 5s
UDP Cyclic
order		 Step
pattern
16|0 1 LLLsLLsLLLsLLsLLs
15|1 8 LLLsLLsLLsLLLsLLs
14|2 15 LLsLLLsLLsLLLsLLs
13|3 5 LLsLLLsLLsLLsLLLs
12|4 12 LLsLLsLLLsLLsLLLs
11|5 2 LLsLLsLLLsLLsLLsL
10|6 9 LLsLLsLLsLLLsLLsL
9|7 16 LsLLLsLLsLLLsLLsL
8|8 6 LsLLLsLLsLLsLLLsL
7|9 13 LsLLsLLLsLLsLLLsL
6|10 3 LsLLsLLLsLLsLLsLL
5|11 10 LsLLsLLsLLLsLLsLL
4|12 17 sLLLsLLsLLLsLLsLL
3|13 7 sLLLsLLsLLsLLLsLL
2|14 14 sLLsLLLsLLsLLLsLL
1|15 4 sLLsLLLsLLsLLsLLL
0|16 11 sLLsLLsLLLsLLsLLL

Scales

Scale tree

Template:Scale tree

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