User:Zhenlige/12neji: Difference between revisions
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This is a list of 12-tone [[NEJI]]s designed by me. The goal is to make a scale | This is a list of 12-tone [[NEJI]]s designed by me. The goal is to make a scale that satisfy the restrictions below: | ||
*All fifths are acceptable (≤8 [[cent]]s off from [[3/1|just]]). | |||
*The least common denominator is small enough (≤256). | |||
*Most notes are in a manageable [[prime limit]]. | |||
*It contains some simple just intervals. | |||
== 1 == | == 1 == |
Revision as of 08:24, 11 December 2024
This is a list of 12-tone NEJIs designed by me. The goal is to make a scale that satisfy the restrictions below:
- All fifths are acceptable (≤8 cents off from just).
- The least common denominator is small enough (≤256).
- Most notes are in a manageable prime limit.
- It contains some simple just intervals.
1
! 12neji-1.scl ! A 12-tone NEJI 192:204:216:228:243:256:272:288:305:324:342:363:384 12 ! 17/16 9/8 19/16 81/64 4/3 17/12 3/2 305/192 27/16 57/32 121/64 2/1
Fifths
Assuming G centered:
- One fifth flatten by 243/242 (~7.139 cents) at B-F♯
- Two fifths flatten by approximately half of 153/152 (~5.7 cents each) at G♯-D♯-A♯
- One fifth flatten by 513/512 (~3.3 cents) at F-C
- One fifth flatten by 1089/1088 (~1.6 cents) at F♯-C♯
- Seven pure fifths at C-G-D-A-E-B, C♯-G♯ and A♯-F
2
! 12neji-2.scl ! A 12-tone NEJI 192:204:216:228:242:256:272:288:305:323:342:363:384 12 ! 17/16 9/8 19/16 121/96 4/3 17/12 3/2 305/192 323/192 57/32 121/64 2/1