Fynn Cerulean: /* Scales */ Changed generator precision from 3 decimals to 5

2026-08-04T05:31:04Z

Scales: Changed generator precision from 3 decimals to 5

Fynn Cerulean: Created page, explained scale names and how all of them are created

2026-08-04T03:53:26Z

Created page, explained scale names and how all of them are created

New page

{{Idiosyncratic terms|Scale names proposed/used by [[User:Fynn_Cerulean|Fynn Cerulean]]}}
This page has a list of scales generated by stacking a [[Periods_and_generators|generator]] up 5 times and down once, as one does with a fifth to create the [[5L_2s|Diatonic scale]].
== Scales ==
{| class="wikitable"
! Generator size (¢) !! [[MOS_scale|MOS]] !! Scale name(s) !! Notes
|-
| 0¢ || M (1M) || Monotonic, [[1edo]]
|-
| < 171.429¢ || sssssLs (1L6s) || [[1L_6s|Onyx]]
|-
| 171.429¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
| < 200¢ || LLLLLsL (6L1s) || [[Archaeotonic]]
|-
| 200¢ || MMMMMM (6M) || Hexatonic, [[6edo]]
|-
| < 218.182¢ || LLLLMsM (4L2M1s) || Straintone{{idio}}
|-
| 218.182¢ || LLLLsss (4L3s) || Tetris{{idio}} ([[11edo]]) || Not to be confused with [[4L_3s|Smitonic]] or [[4edo|Tetratonic]]
|-
| < 240¢ || LLLLsMs (4L1M2s) || Antistraintone{{idio}}
|-
| 240¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
| < 266.667¢ || sMLLMsM (2L3M2s) || Anticloverleaf{{idio}}
|-
| 266.667¢ || ssLLsss (2L5s) || Quizzical{{idio}} ([[9edo]]) || Not to be confused with [[2L_5s|Antidiatonic]]
|-
| < 300¢ || MsLLsMs (2L2M3s) || Cloverleaf{{idio}}
|-
| 300¢ || MMMM (4M) || Tetratonic, [[4edo]]
|-
| < 342.857¢ || sLsLLsL (4L3s) || [[4L_3s|Smitonic]]
|-
| 342.857¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
| < 400¢ || LsLssLs (3L4s) || [[3L_4s|Mosh]]
|-
| 400¢ || MMM (3M) || Tritonic, [[3edo]]
|-
| < 450¢ || sLsMssM (1L2M4s) || Tricomma{{idio}}
|-
| 450¢ || sLsssss (1L6s) || [[1L_6s|Onyx]] ([[8edo]])
|-
| < 480¢ || MLMsMMs (1L4M2s) || Ellipsis{{idio}}
|-
| 480¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
| < 514.286¢ || sLLLsLL (5L2s) || [[5L_2s|Diatonic]] || The Phrygian mode in particular
|-
| 514.286¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
| < 600¢ || LsssLss (2L5s) || [[2L_5s|Antidiatonic]]
|-
| 600¢ || MM (2M) || Ditonic, [[2edo]] || Not to be confused with [[5L_2s|Diatonic]]
|-
| < 685.714¢ || ssLsssL (2L5s) || [[2L_5s|Antidiatonic]] || Past Ditonic, everything flips.
|-
| 685.714¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
| < 720¢ || LLsLLLs (5L2s) || [[5L_2s|Diatonic]] || The Ionian mode in particular
|-
| 720¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
| < 750¢ || sMMsMLM (1L4M2s) || Ellipsis{{idio}}
|-
| 750¢ || sssssLs (1L6s) || [[1L_6s|Onyx]] ([[8edo]])
|-
| < 800¢ || MssMsLs (1L2M4s) || Tricomma{{idio}}
|-
| 800¢ || MMM (3M) || Tritonic, [[3edo]]
|-
| < 857.143¢ || sLssLsL (3L4s) || [[3L_4s|Mosh]]
|-
| 857.143¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
| < 900¢ || LsLLsLs (4L3s) || [[4L_3s|Smitonic]]
|-
| 900¢ || MMMM (4M) || Tetratonic, [[4edo]]
|-
| < 933.333¢ || sMsLLsM (2L2M3s) || Cloverleaf{{idio}}
|-
| 933.333¢ || sssLLss (2L5s) || Quizzical{{idio}} ([[9edo]])
|-
| < 960¢ || MsMLLMs (2L3M2s) || Anticloverleaf{{idio}}
|-
| 960¢ || MMMMM (5M) || Pentatonic, [[5edo]]
|-
| < 981.818¢ || sMsLLLL (4L1m2s) || Antistraintone{{idio}}
|-
| 981.818¢ || sssLLLL (4L3s) || Tetris{{idio}} ([[11edo]])
|-
| < 1000¢ || MsMLLLL (4L2M1s) || Straintone{{idio}}
|-
| 1000¢ || MMMMMM (6M) || Hexatonic, [[6edo]]
|-
| < 1028.571¢ || LsLLLLL (6L1s) || [[6L_1s|Archaeotonic]]
|-
| 1028.571¢ || MMMMMMM (7M) || Heptatonic, [[7edo]]
|-
| < 1200¢ || sLsssss (1L6s) || [[1L_6s|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_scale|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_scale|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."

← Older revision		Revision as of 05:31, 4 August 2026
Line 7:		Line 7:
	\| 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]]
Line 15:		Line 15:
	\| 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}}
Line 23:		Line 23:
	\| 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}}
Line 31:		Line 31:
	\| 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]]
Line 47:		Line 47:
	\| 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]]
Line 55:		Line 55:
	\| 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
Line 71:		Line 71:
	\| 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]]
Line 79:		Line 79:
	\| 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}}
Line 87:		Line 87:
	\| 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}}
Line 95:		Line 95:
	\| 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]]
Line 103:		Line 103:
	\| 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:

User:Fynn Cerulean/Scales generated like diatonic - Revision history

Fynn Cerulean: /* Scales */ Changed generator precision from 3 decimals to 5

Fynn Cerulean: Created page, explained scale names and how all of them are created