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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
 
→Straintone and Antistraintone: Removed note about 24EDO because 24EDO does not have a straintone scale with positive nonzero step sizes
 
(One intermediate revision by the same user not shown)
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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:
=== Straintone and Antistraintone ===
=== 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.
Straintone was named for its "strained" sound when played. 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 ===
Tetris was named after a possible naming of its [[MOS_scale|MOS]], "tetra-L tri-s" (4L3s), which could be shortened to "tel-tris," and then to just "tetris."
Tetris was named after a possible naming of its [[MOS_scale|MOS]], "tetra-L tri-s" (4L3s), which could be shortened to "tel-tris," and then to just "tetris."
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