User:Fynn Cerulean/Scales generated like diatonic: Difference between revisions
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. | | < 171.42857¢ || sssssLs (1L6s) || [[1L_6s|Onyx]] | ||
|- | |- | ||
| 171. | | 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. | | < 218.18182¢ || LLLLMsM (4L2M1s) || Straintone{{idio}} | ||
|- | |- | ||
| 218. | | 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. | | < 266.66667¢ || sMLLMsM (2L3M2s) || Anticloverleaf{{idio}} | ||
|- | |- | ||
| 266. | | 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. | | < 342.85714¢ || sLsLLsL (4L3s) || [[4L_3s|Smitonic]] | ||
|- | |- | ||
| 342. | | 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. | | < 514.28571¢ || sLLLsLL (5L2s) || [[5L_2s|Diatonic]] || The Phrygian mode in particular | ||
|- | |- | ||
| 514. | | 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. | | < 685.71429¢ || ssLsssL (2L5s) || [[2L_5s|Antidiatonic]] || Past Ditonic, everything flips. | ||
|- | |- | ||
| 685. | | 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. | | < 857.14286¢ || sLssLsL (3L4s) || [[3L_4s|Mosh]] | ||
|- | |- | ||
| 857. | | 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. | | < 933.33333¢ || sMsLLsM (2L2M3s) || Cloverleaf{{idio}} | ||
|- | |- | ||
| 933. | | 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. | | < 981.81818¢ || sMsLLLL (4L1m2s) || Antistraintone{{idio}} | ||
|- | |- | ||
| 981. | | 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. | | < 1028.57143¢ || LsLLLLL (6L1s) || [[6L_1s|Archaeotonic]] | ||
|- | |- | ||
| 1028. | | 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 |
|---|---|---|---|
| 0¢ | 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."