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| == Zheanist theory ==
| | #redirect [[5L 3s]] |
| A-Team oneirotonic may be a particularly good place to bring to bear [[Zheanism]]'s high harmonic chords, as A-Team temperament doesn't yield many low-complexity chords.
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| 18edo may be a better basis for a style of oneirotonic Zheanism using comma sharp and comma flat fifths than 13edo (in particular diesis sharp and diesis flat fifths; diesis is a category with a central region of 32 to 40c). In 18edo both the major fifth (+31.4c) and the minor fifth (-35.3) are about a diesis off from a just perfect fifth. In 13edo only the major fifth is a diesis sharp, and it is +36.5c off from just; so there's less wiggle room for a [[neji]] if you want every major fifth to be at most a diesis sharp).
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| 31nejis and 34nejis also provide opportunities to use dieses directly, since 1\31 (38.71c) and 1\34 (35.29c) are both dieses.
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| === Primodal chords ===
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| These are just oneirotonic-inspired chords, they aren't guaranteed to fit in your neji.
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| ==== /13 ====
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| *13:16:19 Tridecimal Squashed Major Triad
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| *13:17:19 Tridecimal Naiadic Maj2
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| *13:17:20 Tridecimal Squashed 2nd Inversion Minor Triad
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| *13:17:21 Tridecimal Squashed 2nd Inversion Major Triad
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| *13:16:19:22 Tridecimal Oneiro Major Tetrad
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| ==== /17 ====
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| *17:20:25 Septen Squashed Minor Triad
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| *17:20:26 Septen Squashed 1st Inversion Major Triad
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| *17:20:25:29 Septen Minor Oneiro Tetrad
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| *17:21:25:29 Septen Major Oneiro Tetrad
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| *17:20:26:29 Septen Squashed 1st Inversion Major Triad addM6
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| *34:40:47:55 Septen Orwell Tetrad
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| *34:40:52:58:76:89:102:129 (Celephaïsian + P5; R-min3-sup5-M6-M9-sub11-P12(fc)-M14)
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| *34:40:52:58:76:89:102:110:129 (Celephaïsian + P5; R-min3-sup5-M6-M9-sub11-P12(fc)-supmin13-M14)
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| *34:40:50:58:89:102:129 (R-min3-sub5-M6-M9-sub11-P12(rc)-M14)
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| *34:40:50:58:89:102:110:129 (R-min3-sub5-M6-M9-sub11-P12(rc)-supmin13-M14)
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| *34:40:50:58:76:89:110:129 (R-m3-sub5-M6-M9-sub11-supm13-M7)
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| *34:40:50:58:76:89:102:110:129:208 (R-m3-sub5-M6-M9-sub11-P12(rc)-supm13-M14-sup19(rc^2))
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| ==== /23 ====
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| *23:27:30 Vice Squashed Min4
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| *23:27:30:35:44 Vice Squashed Min4 addM5,M7
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| *23:27:37 Vice Orwell Tetrad no5
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| *46:54:63:76 Vice Orwell Tetrad
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| *46:54:67:78 Vice Minor Oneiro Tetrad
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| *46:54:60:67:78 Vice Min4 Oneiro Pentad
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| ==== /29 ====
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| *29:34:38 Vicenon Squashed Sus4
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| *29:34:42 Vicenon Squashed Minor Triad
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| *29:36:42 Vicenon Squashed Major Triad
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| *29:34:40:47 Vicenon Orwell Tetrad
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| *29:38:65:84:99 Vicenon Oneiro Core Pentad
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| *29:38:65:84:99:110 Vicenon Oneiro Core Hexad
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| *58:65:72:80:84:94:99:110:116 Vicenon Dylathian &4
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| *58:65:72:76:84:94:99:110:116 Vicenon Dylathian
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| *58:65:72:76:84:89:99:110:116 Vicenon Ilarnekian
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| *58:65:72:76:84:89:99:104:116 Vicenon Ilarnekian @8
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| *58:65:68:76:84:94:99:110:116 Vicenon Celephaïsian &6
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| *58:65:68:76:84:89:99:110:116 Vicenon Celephaïsian
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| *58:65:68:76:84:89:99:104:116 Vicenon Ultharian
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| *58:65:68:76:80:89:99:104:116 Vicenon Mnarian
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| *58:65:68:76:80:89:99:110:116 Vicenon Mnarian &8
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| *58:65:68:76:80:89:94:104:116 Vicenon Hlanithian &2
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| *58:61:68:76:80:89:99:104:116 Vicenon Kadathian
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| *58:61:68:76:84:89:99:104:116 Vicenon Ultharian @2
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| *58:61:68:76:80:89:94:104:116 Vicenon Hlanithian
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| *58:61:68:72:80:89:99:104:116 Vicenon Sarnathian &6
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| *58:61:68:72:80:89:94:104:116 Vicenon Sarnathian
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| *58:61:68:72:80:84:94:104:116 Vicenon Sarnathian @6
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| ==== Over small prime multiples ====
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| === Some oneirotonic nejis ===
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| *58:61:65:68:72:76:80:84:89:94:99:104:110:116 A very low-complexity 13neji; not optimized for transposability.
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| == Rank-2 temperaments ==
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| === A-Team (13&18, 4:5:9:21) ===
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| Sortable table of intervals in the Dylathian mode and their A-Team interpretations:
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| {| class="wikitable right-2 right-3 right-4 sortable"
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| |-
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| ! Degree
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| ! Size in 13edo
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| ! Size in 18edo
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| ! Size in 31edo
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| ! Note name on L
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| ! class="unsortable"| Approximate ratios<ref>The harmonics over 1/1 are in bold. The ratio interpretations that are not valid for 18edo are italicized.</ref>
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| ! #Gens up
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| |-
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| | 1
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| | 0\13, 0.00
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| | 0\18, 0.00
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| | 0\31, 0.00
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| | L
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| | '''1/1'''
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| | 0
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| |-
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| | 2
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| | 2\13, 184.62
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| | 3\18, 200.00
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| | 5\31, 193.55
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| | M
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| | '''9/8''', 10/9
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| | +3
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| |-
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| | 3
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| | 4\13, 369.23
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| | 6\18, 400.00
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| | 10\31, 387.10
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| | N
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| | '''5/4'''
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| | +6
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| |-
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| | 4
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| | 5\13, 461.54
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| | 7\18, 466.67
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| | 12\31, 464.52
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| | O
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| | '''21/16''', ''13/10''
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| | +1
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| |-
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| | 5
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| | 7\13, 646.15
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| | 10\18, 666.66
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| | 17\31, 658.06
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| | P
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| | ''13/9'', ''16/11''
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| | +4
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| |-
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| | 6
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| | 9\13, 830.77
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| | 13\18, 866.66
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| | 22\31, 851.61
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| | Q
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| | '''''13/8''''', ''18/11''
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| | +7
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| |-
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| | 7
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| | 10\13, 923.08
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| | 14\18, 933.33
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| | 24\31, 929.03
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| | J
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| | 12/7
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| | +2
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| |-
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| | 8
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| | 12\13, 1107.69
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| | 17\18, 1133.33
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| | 29\31, 1122.58
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| | K
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| | +5
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| |}
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| <references/>
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| === Petrtri (13&21, 4:5:9:11:13:17) ===
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| ==== Intervals ====
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| Sortable table of intervals in the Dylathian mode and their Petrtri interpretations:
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| {| class="wikitable right-2 right-3 right-4 right-5 sortable"
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| |-
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| ! Degree
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| ! Size in 13edo
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| ! Size in 21edo
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| ! Size in 34edo
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| ! Size in POTE tuning
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| ! Note name on L
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| ! class="unsortable"| Approximate ratios
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| ! #Gens up
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| |-
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| | 1
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| | 0\13, 0.00
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| | 0\21, 0.00
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| | 0\34, 0.00
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| | 0.00
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| | L
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| | 1/1
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| | 0
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| |-
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| | 2
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| | 2\13, 184.62
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| | 3\21, 171.43
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| | 5\34, 176.47
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| | 177.45
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| | M
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| | 10/9, 11/10
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| | +3
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| |-
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| | 3
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| | 4\13, 369.23
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| | 6\21, 342.86
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| | 10\34, 352.94
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| | 354.90
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| | N
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| | 11/9, 16/13
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| | +6
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| |-
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| | 4
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| | 5\13, 461.54
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| | 8\21, 457.14
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| | 13\34, 458.82
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| | 459.15
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| | O
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| | 13/10, 17/13, 22/17
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| | +1
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| |-
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| | 5
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| | 7\13, 646.15
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| | 11\21, 628.57
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| | 18\34, 635.294
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| | 636.60
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| | P
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| | 13/9, 16/11
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| | +4
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| |-
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| | 6
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| | 9\13, 830.77
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| | 14\21, 800.00
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| | 23\34, 811.77
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| | 814.05
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| | Q
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| | 8/5
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| | +7
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| |-
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| | 7
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| | 10\13, 923.08
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| | 16\21, 914.29
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| | 26\34, 917.65
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| | 918.30
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| | J
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| | 17/10
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| | +2
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| |-
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| | 8
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| | 12\13, 1107.69
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| | 19\21, 1085.71
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| | 31\34, 1094.12
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| | 1095.75
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| | K
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| | 17/9, 32/17
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| | +5
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| |}
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| == Samples ==
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| [[File:Oneirotonic 3 part sample.mp3]]
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| (A rather classical-sounding 3-part harmonization of the ascending J Ilarnekian scale; tuning is 13edo)
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| [[File:13edo_1MC.mp3]]
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| (13edo, first 30 seconds is in J Celephaïsian)
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| [[File:A Moment of Respite.mp3]]
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| (13edo, L Ilarnekian)
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| [[File:Lunar Approach.mp3]]
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| (by [[Igliashon Jones]], 13edo, J Celephaïsian)
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| [[Category:Scales]]
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| [[Category:Oneirotonic| ]] <!-- sort order in category: this page shows above A -->
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| [[Category:Mos]]
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| [[Category:MOS scales]] | |