User:Fynn Cerulean/Scales generated like diatonic: Difference between revisions

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Created page, explained scale names and how all of them are created
 
m Scales: Changed generator precision from 3 decimals to 5
 
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| 0¢ || M (1M) || Monotonic, [[1edo]]
| 0¢ || M (1M) || Monotonic, [[1edo]]
|-
|-
| < 171.429¢ || sssssLs (1L6s) || [[1L_6s|Onyx]]
| < 171.42857¢ || sssssLs (1L6s) || [[1L_6s|Onyx]]
|-
|-
| 171.429¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
| 171.42857¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
|-
| < 200¢ || LLLLLsL (6L1s) || [[Archaeotonic]]
| < 200¢ || LLLLLsL (6L1s) || [[Archaeotonic]]
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| 200¢ || MMMMMM (6M) || Hexatonic, [[6edo]]
| 200¢ || MMMMMM (6M) || Hexatonic, [[6edo]]
|-
|-
| < 218.182¢ || LLLLMsM (4L2M1s) || Straintone{{idio}}
| < 218.18182¢ || LLLLMsM (4L2M1s) || Straintone{{idio}}
|-
|-
| 218.182¢ || LLLLsss (4L3s) || Tetris{{idio}} ([[11edo]]) || Not to be confused with [[4L_3s|Smitonic]] or [[4edo|Tetratonic]]
| 218.18182¢ || LLLLsss (4L3s) || Tetris{{idio}} ([[11edo]]) || Not to be confused with [[4L_3s|Smitonic]] or [[4edo|Tetratonic]]
|-
|-
| < 240¢ || LLLLsMs (4L1M2s) || Antistraintone{{idio}}
| < 240¢ || LLLLsMs (4L1M2s) || Antistraintone{{idio}}
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| 240¢ || MMMMM (5M) || Pentatonic, [[5edo]]
| 240¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
|-
| < 266.667¢ || sMLLMsM (2L3M2s) || Anticloverleaf{{idio}}
| < 266.66667¢ || sMLLMsM (2L3M2s) || Anticloverleaf{{idio}}
|-
|-
| 266.667¢ || ssLLsss (2L5s) || Quizzical{{idio}} ([[9edo]]) || Not to be confused with [[2L_5s|Antidiatonic]]
| 266.66667¢ || ssLLsss (2L5s) || Quizzical{{idio}} ([[9edo]]) || Not to be confused with [[2L_5s|Antidiatonic]]
|-
|-
| < 300¢ || MsLLsMs (2L2M3s) || Cloverleaf{{idio}}
| < 300¢ || MsLLsMs (2L2M3s) || Cloverleaf{{idio}}
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| 300¢ || MMMM (4M) || Tetratonic, [[4edo]]
| 300¢ || MMMM (4M) || Tetratonic, [[4edo]]
|-
|-
| < 342.857¢ || sLsLLsL (4L3s) || [[4L_3s|Smitonic]]
| < 342.85714¢ || sLsLLsL (4L3s) || [[4L_3s|Smitonic]]
|-
|-
| 342.857¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
| 342.85714¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
|-
| < 400¢ || LsLssLs (3L4s) || [[3L_4s|Mosh]]
| < 400¢ || LsLssLs (3L4s) || [[3L_4s|Mosh]]
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| 480¢ || MMMMM (5M) || Pentatonic, [[5edo]]
| 480¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
|-
| < 514.286¢ || sLLLsLL (5L2s) || [[5L_2s|Diatonic]] || The Phrygian mode in particular
| < 514.28571¢ || sLLLsLL (5L2s) || [[5L_2s|Diatonic]] || The Phrygian mode in particular
|-
|-
| 514.286¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
| 514.28571¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
|-
| < 600¢ || LsssLss (2L5s) || [[2L_5s|Antidiatonic]]
| < 600¢ || LsssLss (2L5s) || [[2L_5s|Antidiatonic]]
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| 600¢ || MM (2M) || Ditonic, [[2edo]] || Not to be confused with [[5L_2s|Diatonic]]
| 600¢ || MM (2M) || Ditonic, [[2edo]] || Not to be confused with [[5L_2s|Diatonic]]
|-
|-
| < 685.714¢ || ssLsssL (2L5s) || [[2L_5s|Antidiatonic]] || Past Ditonic, everything flips.
| < 685.71429¢ || ssLsssL (2L5s) || [[2L_5s|Antidiatonic]] || Past Ditonic, everything flips.
|-
|-
| 685.714¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
| 685.71429¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
|-
| < 720¢ || LLsLLLs (5L2s) || [[5L_2s|Diatonic]] || The Ionian mode in particular
| < 720¢ || LLsLLLs (5L2s) || [[5L_2s|Diatonic]] || The Ionian mode in particular
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| 800¢ || MMM (3M) || Tritonic, [[3edo]]
| 800¢ || MMM (3M) || Tritonic, [[3edo]]
|-
|-
| < 857.143¢ || sLssLsL (3L4s) || [[3L_4s|Mosh]]
| < 857.14286¢ || sLssLsL (3L4s) || [[3L_4s|Mosh]]
|-
|-
| 857.143¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
| 857.14286¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
|-
| < 900¢ || LsLLsLs (4L3s) || [[4L_3s|Smitonic]]
| < 900¢ || LsLLsLs (4L3s) || [[4L_3s|Smitonic]]
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| 900¢ || MMMM (4M) || Tetratonic, [[4edo]]
| 900¢ || MMMM (4M) || Tetratonic, [[4edo]]
|-
|-
| < 933.333¢ || sMsLLsM (2L2M3s) || Cloverleaf{{idio}}
| < 933.33333¢ || sMsLLsM (2L2M3s) || Cloverleaf{{idio}}
|-
|-
| 933.333¢ || sssLLss (2L5s) || Quizzical{{idio}} ([[9edo]])
| 933.33333¢ || sssLLss (2L5s) || Quizzical{{idio}} ([[9edo]])
|-
|-
| < 960¢ || MsMLLMs (2L3M2s) || Anticloverleaf{{idio}}
| < 960¢ || MsMLLMs (2L3M2s) || Anticloverleaf{{idio}}
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| 960¢ || MMMMM (5M) || Pentatonic, [[5edo]]
| 960¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
|-
| < 981.818¢ || sMsLLLL (4L1m2s) || Antistraintone{{idio}}
| < 981.81818¢ || sMsLLLL (4L1m2s) || Antistraintone{{idio}}
|-
|-
| 981.818¢ || sssLLLL (4L3s) || Tetris{{idio}} ([[11edo]])
| 981.81818¢ || sssLLLL (4L3s) || Tetris{{idio}} ([[11edo]])
|-
|-
| < 1000¢ || MsMLLLL (4L2M1s) || Straintone{{idio}}
| < 1000¢ || MsMLLLL (4L2M1s) || Straintone{{idio}}
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| 1000¢ || MMMMMM (6M) || Hexatonic, [[6edo]]
| 1000¢ || MMMMMM (6M) || Hexatonic, [[6edo]]
|-
|-
| < 1028.571¢ || LsLLLLL (6L1s) || [[6L_1s|Archaeotonic]]
| < 1028.57143¢ || LsLLLLL (6L1s) || [[6L_1s|Archaeotonic]]
|-
|-
| 1028.571¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
| 1028.57143¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
|-
| < 1200¢ || sLsssss (1L6s) || [[1L_6s|Onyx]]
| < 1200¢ || sLsssss (1L6s) || [[1L_6s|Onyx]]
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| 1200¢ || M (1M) || Monotonic, [[1edo]]
| 1200¢ || M (1M) || Monotonic, [[1edo]]
|}
|}
== Names ==
== Names ==
Certain scales, in particular the ones that are labeled as idiosyncratic in the above table, were named as such for certain reasons, as explained below:
Certain scales, in particular the ones that are labeled as idiosyncratic in the above table, were named as such for certain reasons, as explained below:

Latest revision as of 05:31, 4 August 2026

This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.

Terms: Scale names proposed/used by Fynn Cerulean

This page has a list of scales generated by stacking a generator up 5 times and down once, as one does with a fifth to create the Diatonic scale.

Scales

Generator size (¢) MOS Scale name(s) Notes
M (1M) Monotonic, 1edo
< 171.42857¢ sssssLs (1L6s) Onyx
171.42857¢ MMMMMMM (7M) Heptatonic, 7edo
< 200¢ LLLLLsL (6L1s) Archaeotonic
200¢ MMMMMM (6M) Hexatonic, 6edo
< 218.18182¢ LLLLMsM (4L2M1s) Straintone[idiosyncratic term]
218.18182¢ LLLLsss (4L3s) Tetris[idiosyncratic term] (11edo) Not to be confused with Smitonic or Tetratonic
< 240¢ LLLLsMs (4L1M2s) Antistraintone[idiosyncratic term]
240¢ MMMMM (5M) Pentatonic, 5edo
< 266.66667¢ sMLLMsM (2L3M2s) Anticloverleaf[idiosyncratic term]
266.66667¢ ssLLsss (2L5s) Quizzical[idiosyncratic term] (9edo) Not to be confused with Antidiatonic
< 300¢ MsLLsMs (2L2M3s) Cloverleaf[idiosyncratic term]
300¢ MMMM (4M) Tetratonic, 4edo
< 342.85714¢ sLsLLsL (4L3s) Smitonic
342.85714¢ MMMMMMM (7M) Heptatonic, 7edo
< 400¢ LsLssLs (3L4s) Mosh
400¢ MMM (3M) Tritonic, 3edo
< 450¢ sLsMssM (1L2M4s) Tricomma[idiosyncratic term]
450¢ sLsssss (1L6s) Onyx (8edo)
< 480¢ MLMsMMs (1L4M2s) Ellipsis[idiosyncratic term]
480¢ MMMMM (5M) Pentatonic, 5edo
< 514.28571¢ sLLLsLL (5L2s) Diatonic The Phrygian mode in particular
514.28571¢ MMMMMMM (7M) Heptatonic, 7edo
< 600¢ LsssLss (2L5s) Antidiatonic
600¢ MM (2M) Ditonic, 2edo Not to be confused with Diatonic
< 685.71429¢ ssLsssL (2L5s) Antidiatonic Past Ditonic, everything flips.
685.71429¢ MMMMMMM (7M) Heptatonic, 7edo
< 720¢ LLsLLLs (5L2s) Diatonic The Ionian mode in particular
720¢ MMMMM (5M) Pentatonic, 5edo
< 750¢ sMMsMLM (1L4M2s) Ellipsis[idiosyncratic term]
750¢ sssssLs (1L6s) Onyx (8edo)
< 800¢ MssMsLs (1L2M4s) Tricomma[idiosyncratic term]
800¢ MMM (3M) Tritonic, 3edo
< 857.14286¢ sLssLsL (3L4s) Mosh
857.14286¢ MMMMMMM (7M) Heptatonic, 7edo
< 900¢ LsLLsLs (4L3s) Smitonic
900¢ MMMM (4M) Tetratonic, 4edo
< 933.33333¢ sMsLLsM (2L2M3s) Cloverleaf[idiosyncratic term]
933.33333¢ sssLLss (2L5s) Quizzical[idiosyncratic term] (9edo)
< 960¢ MsMLLMs (2L3M2s) Anticloverleaf[idiosyncratic term]
960¢ MMMMM (5M) Pentatonic, 5edo
< 981.81818¢ sMsLLLL (4L1m2s) Antistraintone[idiosyncratic term]
981.81818¢ sssLLLL (4L3s) Tetris[idiosyncratic term] (11edo)
< 1000¢ MsMLLLL (4L2M1s) Straintone[idiosyncratic term]
1000¢ MMMMMM (6M) Hexatonic, 6edo
< 1028.57143¢ LsLLLLL (6L1s) Archaeotonic
1028.57143¢ MMMMMMM (7M) Heptatonic, 7edo
< 1200¢ sLsssss (1L6s) Onyx
1200¢ M (1M) Monotonic, 1edo

Names

Certain scales, in particular the ones that are labeled as idiosyncratic in the above table, were named as such for certain reasons, as explained below:

Straintone and Antistraintone

Straintone was named for its "strained" sound when played, especially in 24EDO. Antistraintone was named after the fact that is it effectively the "anti-" version of Straintone, made with a generator larger than that of 11edo's Tetris scale instead of smaller.

Tetris

Tetris was named after a possible naming of its MOS, "tetra-L tri-s" (4L3s), which could be shortened to "tel-tris," and then to just "tetris."

Cloverleaf and Anticloverleaf

Cloverleaf was named for its shape when placed on a circle, being similar to that of a clover. Anticloverleaf was named for a similar reason to Antistraintone, with the generator instead being smaller than 9edo's Quizzical scale.

Quizzical

Quizzical was named similarly to Tetris, using "quin-s di-L" for its MOS, 2L5s.

Tricomma and Ellipsis

Tricomma was named for being similar to the Tritonic scale (3edo), plus some commas, for small enough generators. Ellipsis is a play on words relating to "tri-period."