12L 5s: Difference between revisions

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* [[Pythagorean17]] – Pythagorean tuning
* [[Pythagorean17]] – Pythagorean tuning
* [[Nestoria17]] – 171edo tuning
* [[Nestoria17]] – 171edo tuning


== Scale tree ==
== Scale tree ==
Generator ranges:
{{Scale tree|Comments=
* Bright generator: 494.1176 cents (7\17) to 500 cents (5\12)
4/3: [[Leapfrog]];
* Dark generator: 700 cents (7\12) to 705.8824 cents (10\17)
7/5: [[Leapweek]];
 
11/7: [[Leapday]] / [[polypyth]];
{| class="wikitable center-all"
13/8: Golden neogothic (495.9044¢);
! colspan="6" | Bright generator
7/3: [[Undecental]];
! Cents
12/5: Argent tuning (497.0563¢);
! L
13/5: Unnamed golden tuning (497.2540¢)
! s
11/4: [[Kwai]];
! L/s
3/1: [[Garibaldi]] / [[andromeda]];
! Comments
7/2: Garibaldi / [[cassandra]];
|-
4/1: Garibaldi / [[helenus]], Pythagorean tuning (498.0450¢);
| 7\17 || || || || || || 494.118 || 1 || 1 || 1.000 ||
9/2: [[Pontiac]];
|-
5/1: [[Photia]];
| || || || || || 40\97 || 494.845 || 6 || 5 || 1.200 ||
6/1: ↓ [[Grackle]]
|-
}}
| || || || || 33\80 || || 495.000 || 5 || 4 || 1.250 ||
|-
| || || || || || 59\143 || 495.105 || 9 || 7 || 1.286 ||
|-
| || || || 26\63 || || || 495.238 || 4 || 3 || 1.333 || [[Leapfrog]]
|-
| || || || || || 71\172 || 495.349 || 11 || 8 || 1.375 ||
|-
| || || || || 45\109 || || 495.413 || 7 || 5 || 1.400 || [[Leapweek]]
|-
| || || || || || 64\155 || 495.484 || 10 || 7 || 1.428 ||
|-
| || || 19\46 || || || || 495.652 || 3 || 2 || 1.500 ||
|-
| || || || || || 69\167 || 495.808 || 11 || 7 || 1.571 || [[Leapday]] / [[polypyth]]
|-
| || || || || 50\121 || || 495.868 || 8 || 5 || 1.600 ||
|-
| || || || || || 81\196 || 495.918 || 13 || 8 || 1.625 || Golden neogothic (495.9044¢)
|-
| || || || 31\75 || || || 496.000 || 5 || 3 || 1.667 ||
|-
| || || || || || 74\179 || 496.089 || 12 || 7 || 1.714 ||
|-
| || || || || 43\104 || || 496.154 || 7 || 4 || 1.750 ||
|-
| || || || || || 55\133 || 496.241 || 9 || 5 || 1.800 ||
|-
| || 12\29 || || || || || 496.552 || 2 || 1 || 2.000 || Basic 12L 5s <br>(Generators smaller than this are proper)
|-
| || || || || || 53\128 || 496.875 || 9 || 4 || 2.250 ||
|-
| || || || || 41\99 || || 496.970 || 7 || 3 || 2.333 || [[Undecental]]
|-
| || || || || || 70\169 || 497.041 || 12 || 5 || 2.400 || Argent tuning (497.0563¢)
|-
| || || || 29\70 || || || 497.143 || 5 || 2 || 2.500 ||
|-
| || || || || || 75\181 || 497.238 || 13 || 5 || 2.600 || Unnamed golden tuning (497.2540¢)
|-
| || || || || 46\111 || || 497.297 || 8 || 3 || 2.667 ||
|-
| || || || || || 63\152 || 497.368 || 11 || 4 || 2.750 || [[Kwai]]
|-
| || || 17\41 || || || || 497.561 || 3 || 1 || 3.000 || [[Garibaldi]] / [[andromeda]]
|-
| || || || || || 56\135 || 497.778 || 10 || 3 || 3.333 ||
|-
| || || || || 39\94 || || 497.872 || 7 || 2 || 3.500 || Garibaldi / [[cassandra]]
|-
| || || || || || 61\147 || 497.959 || 11 || 3 || 3.667 ||
|-
| || || || 22\53 || || || 498.113 || 4 || 1 || 4.000 || Garibaldi / [[helenus]], [[Pythagorean tuning]] (498.0450¢)
|-
| || || || || || 49\118 || 498.305 || 9 || 2 || 4.500 || [[Pontiac]]
|-
| || || || || 27\65 || || 498.462 || 5 || 1 || 5.000 || [[Photia]]
|-
| || || || || || 32\77 || 498.701 || 6 || 1 || 6.000 || [[Grackle]]
|-
| 5\12 || || || || || || 500.000 || 1 || 0 || → inf ||
|}


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