35edo: Difference between revisions
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= Theory = | |||
35-tET or 35-[[EDO]] refers to a tuning system which divides the octave into 35 steps of approximately [[cent|34.29¢]] each. | 35-tET or 35-[[EDO]] refers to a tuning system which divides the octave into 35 steps of approximately [[cent|34.29¢]] each. | ||
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| style="text-align:center;" | up unison | | style="text-align:center;" | up unison | ||
| style="text-align:center;" | ^1 | | style="text-align:center;" | ^1 | ||
| style="text-align:center;" | D | | style="text-align:center;" | ^D | ||
|- | |- | ||
| style="text-align:center;" | 2 | | style="text-align:center;" | 2 | ||
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| style="text-align:center;" | double-up unison | | style="text-align:center;" | double-up unison | ||
| style="text-align:center;" | ^^1 | | style="text-align:center;" | ^^1 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^D | ||
|- | |- | ||
| style="text-align:center;" | 3 | | style="text-align:center;" | 3 | ||
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| style="text-align:center;" | double-down 2nd | | style="text-align:center;" | double-down 2nd | ||
| style="text-align:center;" | vv2 | | style="text-align:center;" | vv2 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvE | ||
|- | |- | ||
| style="text-align:center;" | 4 | | style="text-align:center;" | 4 | ||
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| style="text-align:center;" | down 2nd | | style="text-align:center;" | down 2nd | ||
| style="text-align:center;" | v2 | | style="text-align:center;" | v2 | ||
| style="text-align:center;" | | | style="text-align:center;" | vE | ||
|- | |- | ||
| style="text-align:center;" | 5 | | style="text-align:center;" | 5 | ||
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| style="text-align:center;" | up 2nd | | style="text-align:center;" | up 2nd | ||
| style="text-align:center;" | ^2 | | style="text-align:center;" | ^2 | ||
| style="text-align:center;" | E | | style="text-align:center;" | ^E | ||
|- | |- | ||
| style="text-align:center;" | 7 | | style="text-align:center;" | 7 | ||
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| style="text-align:center;" | double-up 2nd | | style="text-align:center;" | double-up 2nd | ||
| style="text-align:center;" | ^^2 | | style="text-align:center;" | ^^2 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^E | ||
|- | |- | ||
| style="text-align:center;" | 8 | | style="text-align:center;" | 8 | ||
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| style="text-align:center;" | double-down 3rd | | style="text-align:center;" | double-down 3rd | ||
| style="text-align:center;" | vv3 | | style="text-align:center;" | vv3 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvF | ||
|- | |- | ||
| style="text-align:center;" | 9 | | style="text-align:center;" | 9 | ||
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| style="text-align:center;" | down 3rd | | style="text-align:center;" | down 3rd | ||
| style="text-align:center;" | v3 | | style="text-align:center;" | v3 | ||
| style="text-align:center;" | | | style="text-align:center;" | vF | ||
|- | |- | ||
| style="text-align:center;" | 10 | | style="text-align:center;" | 10 | ||
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| style="text-align:center;" | up 3rd | | style="text-align:center;" | up 3rd | ||
| style="text-align:center;" | ^3 | | style="text-align:center;" | ^3 | ||
| style="text-align:center;" | F | | style="text-align:center;" | ^F | ||
|- | |- | ||
| style="text-align:center;" | 12 | | style="text-align:center;" | 12 | ||
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| style="text-align:center;" | double-up 3rd | | style="text-align:center;" | double-up 3rd | ||
| style="text-align:center;" | ^^3 | | style="text-align:center;" | ^^3 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^F | ||
|- | |- | ||
| style="text-align:center;" | 13 | | style="text-align:center;" | 13 | ||
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| style="text-align:center;" | double-down 4th | | style="text-align:center;" | double-down 4th | ||
| style="text-align:center;" | vv4 | | style="text-align:center;" | vv4 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvG | ||
|- | |- | ||
| style="text-align:center;" | 14 | | style="text-align:center;" | 14 | ||
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| style="text-align:center;" | down 4th | | style="text-align:center;" | down 4th | ||
| style="text-align:center;" | v4 | | style="text-align:center;" | v4 | ||
| style="text-align:center;" | | | style="text-align:center;" | vG | ||
|- | |- | ||
| style="text-align:center;" | 15 | | style="text-align:center;" | 15 | ||
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| style="text-align:center;" | up 4th | | style="text-align:center;" | up 4th | ||
| style="text-align:center;" | ^4 | | style="text-align:center;" | ^4 | ||
| style="text-align:center;" | G | | style="text-align:center;" | ^G | ||
|- | |- | ||
| style="text-align:center;" | 17 | | style="text-align:center;" | 17 | ||
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| style="text-align:center;" | double-up 4th | | style="text-align:center;" | double-up 4th | ||
| style="text-align:center;" | ^^4 | | style="text-align:center;" | ^^4 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^G | ||
|- | |- | ||
| style="text-align:center;" | 18 | | style="text-align:center;" | 18 | ||
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| style="text-align:center;" | double-down 5th | | style="text-align:center;" | double-down 5th | ||
| style="text-align:center;" | vv5 | | style="text-align:center;" | vv5 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvA | ||
|- | |- | ||
| style="text-align:center;" | 19 | | style="text-align:center;" | 19 | ||
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| style="text-align:center;" | down 5th | | style="text-align:center;" | down 5th | ||
| style="text-align:center;" | v5 | | style="text-align:center;" | v5 | ||
| style="text-align:center;" | | | style="text-align:center;" | vA | ||
|- | |- | ||
| style="text-align:center;" | 20 | | style="text-align:center;" | 20 | ||
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| style="text-align:center;" | up 5th | | style="text-align:center;" | up 5th | ||
| style="text-align:center;" | ^5 | | style="text-align:center;" | ^5 | ||
| style="text-align:center;" | A | | style="text-align:center;" | ^A | ||
|- | |- | ||
| style="text-align:center;" | 22 | | style="text-align:center;" | 22 | ||
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| style="text-align:center;" | double-up 5th | | style="text-align:center;" | double-up 5th | ||
| style="text-align:center;" | ^^5 | | style="text-align:center;" | ^^5 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^A | ||
|- | |- | ||
| style="text-align:center;" | 23 | | style="text-align:center;" | 23 | ||
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| style="text-align:center;" | double-down 6th | | style="text-align:center;" | double-down 6th | ||
| style="text-align:center;" | vv6 | | style="text-align:center;" | vv6 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvB | ||
|- | |- | ||
| style="text-align:center;" | 24 | | style="text-align:center;" | 24 | ||
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| style="text-align:center;" | down 6th | | style="text-align:center;" | down 6th | ||
| style="text-align:center;" | v6 | | style="text-align:center;" | v6 | ||
| style="text-align:center;" | | | style="text-align:center;" | vB | ||
|- | |- | ||
| style="text-align:center;" | 25 | | style="text-align:center;" | 25 | ||
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| style="text-align:center;" | up 6th | | style="text-align:center;" | up 6th | ||
| style="text-align:center;" | ^6 | | style="text-align:center;" | ^6 | ||
| style="text-align:center;" | B | | style="text-align:center;" | ^B | ||
|- | |- | ||
| style="text-align:center;" | 27 | | style="text-align:center;" | 27 | ||
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| style="text-align:center;" | double-up 6th | | style="text-align:center;" | double-up 6th | ||
| style="text-align:center;" | ^^6 | | style="text-align:center;" | ^^6 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^B | ||
|- | |- | ||
| style="text-align:center;" | 28 | | style="text-align:center;" | 28 | ||
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| style="text-align:center;" | double-down 7th | | style="text-align:center;" | double-down 7th | ||
| style="text-align:center;" | vv7 | | style="text-align:center;" | vv7 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvC | ||
|- | |- | ||
| style="text-align:center;" | 29 | | style="text-align:center;" | 29 | ||
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| style="text-align:center;" | down 7th | | style="text-align:center;" | down 7th | ||
| style="text-align:center;" | v7 | | style="text-align:center;" | v7 | ||
| style="text-align:center;" | | | style="text-align:center;" | vC | ||
|- | |- | ||
| style="text-align:center;" | 30 | | style="text-align:center;" | 30 | ||
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| style="text-align:center;" | up 7th | | style="text-align:center;" | up 7th | ||
| style="text-align:center;" | ^7 | | style="text-align:center;" | ^7 | ||
| style="text-align:center;" | C | | style="text-align:center;" | ^C | ||
|- | |- | ||
| style="text-align:center;" | 32 | | style="text-align:center;" | 32 | ||
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| style="text-align:center;" | double-up 7th | | style="text-align:center;" | double-up 7th | ||
| style="text-align:center;" | ^^7 | | style="text-align:center;" | ^^7 | ||
| style="text-align:center;" | | | style="text-align:center;" | ^^C | ||
|- | |- | ||
| style="text-align:center;" | 33 | | style="text-align:center;" | 33 | ||
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| style="text-align:center;" | double-down 8ve | | style="text-align:center;" | double-down 8ve | ||
| style="text-align:center;" | vv8 | | style="text-align:center;" | vv8 | ||
| style="text-align:center;" | | | style="text-align:center;" | vvD | ||
|- | |- | ||
| style="text-align:center;" | 34 | | style="text-align:center;" | 34 | ||
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| style="text-align:center;" | down 8ve | | style="text-align:center;" | down 8ve | ||
| style="text-align:center;" | v8 | | style="text-align:center;" | v8 | ||
| style="text-align:center;" | | | style="text-align:center;" | vD | ||
|- | |- | ||
| style="text-align:center;" | 35 | | style="text-align:center;" | 35 | ||
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|} | |} | ||
== | ==Chord Names== | ||
Ups and downs can be used to name 35edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. | Ups and downs can be used to name 35edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. An up or down immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). Alterations are always enclosed in parentheses, additions never are. | ||
0-10-20 = C E G = C = C or C perfect | 0-10-20 = C E G = C = C or C perfect | ||
0-9-20 = C | 0-9-20 = C vE G = Cv = C down | ||
0-11-20 = C E | 0-11-20 = C ^E G = C^ = C up | ||
0-10-19 = C E | 0-10-19 = C E vG = C(v5) = C down-five | ||
0-11-21 = C E^ G | 0-11-21 = C ^E ^G = C^(^5) = C up up-five | ||
0-10-20-30 = C E G B = C7 = C seven | 0-10-20-30 = C E G B = C7 = C seven | ||
0-10-20-29 = C E G | 0-10-20-29 = C E G vB = C,v7 = C add down-seven | ||
0-9-20-30 = C | 0-9-20-30 = C vE G B = Cv,7 = C down add-seven | ||
0-9-20-29 = C | 0-9-20-29 = C vE G vB = Cv7 = C down seven | ||
For a more complete list, see [[ | For a more complete list, see [[Ups and Downs Notation#Chords and Chord Progressions|Ups and Downs Notation - Chords and Chord Progressions]]. | ||
=Intervals= | =JI Intervals= | ||
(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.) | (Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.) | ||
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=Commas= | =Commas= | ||
35EDO tempers out the following commas. (Note: This assumes the val < 35 55 81 98 121 130|.) | 35EDO tempers out the following [[commas]]. (Note: This assumes the val < 35 55 81 98 121 130|.) | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | | ! | [[Ratio]] | ||
! | Monzo | ! | [[Monzo]] | ||
! | | ! | [[Cents]] | ||
![[Color notation/Temperament Names|Color Name]] | |||
! | Name 1 | ! | Name 1 | ||
! | Name 2 | ! | Name 2 | ||
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| |<nowiki> | -11 7 </nowiki>> | | |<nowiki> | -11 7 </nowiki>> | ||
| style="text-align:right;" | 113.69 | | style="text-align:right;" | 113.69 | ||
| style="text-align:center;" |Lawa | |||
| style="text-align:center;" | Apotome | | style="text-align:center;" | Apotome | ||
| style="text-align:center;" | Whitewood comma | | style="text-align:center;" | Whitewood comma | ||
| Line 636: | Line 639: | ||
| |<nowiki> | -1 8 -5 </nowiki>> | | |<nowiki> | -1 8 -5 </nowiki>> | ||
| style="text-align:right;" | 84.07 | | style="text-align:right;" | 84.07 | ||
| style="text-align:center;" |Quingu | |||
| style="text-align:center;" | Ripple comma | | style="text-align:center;" | Ripple comma | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| Line 642: | Line 646: | ||
| |<nowiki> | 9 9 -10 </nowiki>> | | |<nowiki> | 9 9 -10 </nowiki>> | ||
| style="text-align:right;" | 54.46 | | style="text-align:right;" | 54.46 | ||
| style="text-align:center;" |Quinbigu | |||
| style="text-align:center;" | Mynic comma | | style="text-align:center;" | Mynic comma | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| |<nowiki> | -10 -1 5 </nowiki>> | | |<nowiki> | -10 -1 5 </nowiki>> | ||
| style="text-align:right;" | 29.61 | | style="text-align:right;" | 29.61 | ||
| style="text-align:center;" |Laquinyo | |||
| style="text-align:center;" | Small diesis | | style="text-align:center;" | Small diesis | ||
| style="text-align:center;" | Magic comma | | style="text-align:center;" | Magic comma | ||
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| |<nowiki> | -3 4 1 -2 </nowiki>> | | |<nowiki> | -3 4 1 -2 </nowiki>> | ||
| style="text-align:right;" | 56.48 | | style="text-align:right;" | 56.48 | ||
| style="text-align:center;" |Ruruyo | |||
| style="text-align:center;" | Greenwoodma | | style="text-align:center;" | Greenwoodma | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| Line 660: | Line 667: | ||
| |<nowiki> | -14 0 0 5 </nowiki>> | | |<nowiki> | -14 0 0 5 </nowiki>> | ||
| style="text-align:right;" | 44.13 | | style="text-align:right;" | 44.13 | ||
| style="text-align:center;" |Laquinzo | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| Line 666: | Line 674: | ||
| |<nowiki> | -9 1 2 1 </nowiki>> | | |<nowiki> | -9 1 2 1 </nowiki>> | ||
| style="text-align:right;" | 43.41 | | style="text-align:right;" | 43.41 | ||
| style="text-align:center;" |Zoyoyo | |||
| style="text-align:center;" | Avicenna | | style="text-align:center;" | Avicenna | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| Line 672: | Line 681: | ||
| |<nowiki> | 1 2 -3 1 </nowiki>> | | |<nowiki> | 1 2 -3 1 </nowiki>> | ||
| style="text-align:right;" | 13.79 | | style="text-align:right;" | 13.79 | ||
| style="text-align:center;" |Zotrigu | |||
| style="text-align:center;" | Starling comma | | style="text-align:center;" | Starling comma | ||
| style="text-align:center;" | Septimal semicomma | | style="text-align:center;" | Septimal semicomma | ||
| Line 678: | Line 688: | ||
| |<nowiki> | -1 2 0 -2 1 </nowiki>> | | |<nowiki> | -1 2 0 -2 1 </nowiki>> | ||
| style="text-align:right;" | 17.58 | | style="text-align:right;" | 17.58 | ||
| style="text-align:center;" |Loruru | |||
| style="text-align:center;" | Mothwellsma | | style="text-align:center;" | Mothwellsma | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| Line 684: | Line 695: | ||
| |<nowiki> | 1 1 -1 0 1 -1 </nowiki>> | | |<nowiki> | 1 1 -1 0 1 -1 </nowiki>> | ||
| style="text-align:right;" | 26.43 | | style="text-align:right;" | 26.43 | ||
| style="text-align:center;" |Thulogu | |||
| style="text-align:center;" | | | style="text-align:center;" | | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
Revision as of 23:35, 14 December 2019
Theory
35-tET or 35-EDO refers to a tuning system which divides the octave into 35 steps of approximately 34.29¢ each.
As 35 is 5 times 7, 35edo allows for mixing the two smallest xenharmonic macrotonal edos: 5edo and 7edo. A single degree of 35edo represents the difference between 7edo's narrow fifth of 685.71¢ and 5edo's wide fifth of 720¢. Because it includes 7edo, 35edo tunes the 29th harmonic with +1 cent of error. 35edo can also represent the 2.3.5.7.11.17 subgroup and 2.9.5.7.11.17 subgroup, because of the accuracy of 9 and the flatness of all other subgroup generators (7/5 and 17/11 stand out, having less than 1 cent error). Therefore among whitewood tunings it is very versatile; you can switch between these different subgroups if you don't mind having to use two different 3/2s to reach the inconsistent 9 (a characteristic of whitewood tunings), and if you ignore 22edo's more in-tune versions of 35edo MOS's and consistent representation of both subgroups. 35edo has the optimal patent val for greenwood and secund temperaments, as well as 11-limit muggles, and the 35f val is an excellent tuning for 13-limit muggles.
Notation
| Degrees | Cents | Up/down Notation | ||
|---|---|---|---|---|
| 0 | 0.000 | unison | 1 | D |
| 1 | 34.286 | up unison | ^1 | ^D |
| 2 | 68.571 | double-up unison | ^^1 | ^^D |
| 3 | 102.857 | double-down 2nd | vv2 | vvE |
| 4 | 137.143 | down 2nd | v2 | vE |
| 5 | 171.429 | 2nd | 2 | E |
| 6 | 205.714 | up 2nd | ^2 | ^E |
| 7 | 240 | double-up 2nd | ^^2 | ^^E |
| 8 | 274.286 | double-down 3rd | vv3 | vvF |
| 9 | 308.571 | down 3rd | v3 | vF |
| 10 | 342.857 | 3rd | 3 | F |
| 11 | 377.143 | up 3rd | ^3 | ^F |
| 12 | 411.429 | double-up 3rd | ^^3 | ^^F |
| 13 | 445.714 | double-down 4th | vv4 | vvG |
| 14 | 480 | down 4th | v4 | vG |
| 15 | 514.286 | 4th | 4 | G |
| 16 | 548.571 | up 4th | ^4 | ^G |
| 17 | 582.857 | double-up 4th | ^^4 | ^^G |
| 18 | 617.143 | double-down 5th | vv5 | vvA |
| 19 | 651.429 | down 5th | v5 | vA |
| 20 | 685.714 | 5th | 5 | A |
| 21 | 720 | up 5th | ^5 | ^A |
| 22 | 754.286 | double-up 5th | ^^5 | ^^A |
| 23 | 788.571 | double-down 6th | vv6 | vvB |
| 24 | 822.857 | down 6th | v6 | vB |
| 25 | 857.143 | 6th | 6 | B |
| 26 | 891.429 | up 6th | ^6 | ^B |
| 27 | 925.714 | double-up 6th | ^^6 | ^^B |
| 28 | 960 | double-down 7th | vv7 | vvC |
| 29 | 994.286 | down 7th | v7 | vC |
| 30 | 1028.571 | 7th | 7 | C |
| 31 | 1062.857 | up 7th | ^7 | ^C |
| 32 | 1097.143 | double-up 7th | ^^7 | ^^C |
| 33 | 1131.429 | double-down 8ve | vv8 | vvD |
| 34 | 1165.714 | down 8ve | v8 | vD |
| 35 | 1200 | 8ve | 8 | D |
Chord Names
Ups and downs can be used to name 35edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. An up or down immediately after the chord root affects the 3rd, 6th, 7th, and/or the 11th (every other note of a stacked-3rds chord 6-1-3-5-7-9-11-13). Alterations are always enclosed in parentheses, additions never are.
0-10-20 = C E G = C = C or C perfect
0-9-20 = C vE G = Cv = C down
0-11-20 = C ^E G = C^ = C up
0-10-19 = C E vG = C(v5) = C down-five
0-11-21 = C ^E ^G = C^(^5) = C up up-five
0-10-20-30 = C E G B = C7 = C seven
0-10-20-29 = C E G vB = C,v7 = C add down-seven
0-9-20-30 = C vE G B = Cv,7 = C down add-seven
0-9-20-29 = C vE G vB = Cv7 = C down seven
For a more complete list, see Ups and Downs Notation - Chords and Chord Progressions.
JI Intervals
(Bolded ratio indicates that the ratio is most accurately tuned by the given 35-edo interval.)
| Degrees | Cents value | Ratios in 2.5.7.11.17 subgroup | Ratios with flat 3 | Ratios with sharp 3 | Ratios with best 9 |
|---|---|---|---|---|---|
| 0 | 0.000 | 1/1 | (see comma table) | ||
| 1 | 34.286 | 50/49, 121/119, 33/32 | 36/35 | 25/24 | 81/80 |
| 2 | 68.571 | 128/125 | 25/24 | 81/80 | |
| 3 | 102.857 | 17/16 | 15/14 | 16/15 | 18/17 |
| 4 | 137.143 | 12/11, 16/15 | |||
| 5 | 171.429 | 11/10 | 12/11 | 10/9 | |
| 6 | 205.714 | 9/8 | |||
| 7 | 240 | 8/7 | 7/6 | ||
| 8 | 274.286 | 20/17 | 7/6 | ||
| 9 | 308.571 | 6/5 | |||
| 10 | 342.857 | 17/14 | 6/5 | 11/9 | |
| 11 | 377.143 | 5/4 | |||
| 12 | 411.429 | 14/11 | |||
| 13 | 445.714 | 22/17, 32/25 | 9/7 | ||
| 14 | 480 | 4/3, 21/16 | |||
| 15 | 514.286 | 4/3 | |||
| 16 | 548.571 | 11/8 | |||
| 17 | 582.857 | 7/5 | 24/17 | 17/12 | |
| 18 | 617.143 | 10/7 | 17/12 | 24/17 | |
| 19 | 651.429 | 16/11 | |||
| 20 | 685.714 | 3/2 | |||
| 21 | 720 | 3/2, 32/21 | |||
| 22 | 754.286 | 17/11, 25/16 | 14/9 | ||
| 23 | 788.571 | 11/7 | |||
| 24 | 822.857 | 8/5 | |||
| 25 | 857.143 | 28/17 | 5/3 | 18/11 | |
| 26 | 891.429 | 5/3 | |||
| 27 | 925.714 | 17/10 | 12/7 | ||
| 28 | 960 | 7/4 | |||
| 29 | 994.286 | 16/9 | |||
| 30 | 1028.571 | 20/11 | 9/5 | ||
| 31 | 1062.857 | 11/6, 15/8 | |||
| 32 | 1097.143 | 32/17 | 28/15 | 15/8 | 17/9 |
| 33 | 1131.429 | ||||
| 34 | 1165.714 | ||||
| 3 | 1200 |
Rank two temperaments
| Periods
per octave |
Generator | Temperaments with
flat 3/2 (patent val) |
Temperaments with sharp 3/2 (35b val) |
|---|---|---|---|
| 1 | 1\35 | ||
| 1 | 2\35 | ||
| 1 | 3\35 | Ripple | |
| 1 | 4\35 | Secund | |
| 1 | 6\35 | Messed-up Baldy | |
| 1 | 8\35 | Messed-up Orwell | |
| 1 | 9\35 | Myna | |
| 1 | 11\35 | Muggles | |
| 1 | 12\35 | Roman | |
| 1 | 13\35 | Inconsistent 2.9'/7.5/3 Sensi | |
| 1 | 16\35 | ||
| 1 | 17\35 | ||
| 5 | 1\35 | Blackwood (favoring 7/6) | |
| 5 | 2\35 | Blackwood (favoring 6/5 and 20/17) | |
| 5 | 3\35 | Blackwood (favoring 5/4 and 17/14) | |
| 7 | 1\35 | Whitewood/Redwood | |
| 7 | 2\35 | Greenwood | |
Scales
A good beginning for start to play 35-EDO is with the Sub-diatonic scale, that is a MOS of 3L2s: 9 4 9 9 4.
Commas
35EDO tempers out the following commas. (Note: This assumes the val < 35 55 81 98 121 130|.)
| Ratio | Monzo | Cents | Color Name | Name 1 | Name 2 |
|---|---|---|---|---|---|
| 2187/2048 | | -11 7 > | 113.69 | Lawa | Apotome | Whitewood comma |
| 6561/6250 | | -1 8 -5 > | 84.07 | Quingu | Ripple comma | |
| 10077696/9765625 | | 9 9 -10 > | 54.46 | Quinbigu | Mynic comma | |
| 3125/3072 | | -10 -1 5 > | 29.61 | Laquinyo | Small diesis | Magic comma |
| 405/392 | | -3 4 1 -2 > | 56.48 | Ruruyo | Greenwoodma | |
| 16807/16384 | | -14 0 0 5 > | 44.13 | Laquinzo | ||
| 525/512 | | -9 1 2 1 > | 43.41 | Zoyoyo | Avicenna | |
| 126/125 | | 1 2 -3 1 > | 13.79 | Zotrigu | Starling comma | Septimal semicomma |
| 99/98 | | -1 2 0 -2 1 > | 17.58 | Loruru | Mothwellsma | |
| 66/65 | | 1 1 -1 0 1 -1 > | 26.43 | Thulogu |
Music
Little Prelude & Fugue, "The Bijingle" by Claudi Meneghin
Self-Destructing Mechanical Forest by Chuckles McGee (in Secund[9])