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| Line 1,093: |
Line 1,093: |
| * R-m5-m7-m8: Contracting Quartal Triad Addm7 | | * R-m5-m7-m8: Contracting Quartal Triad Addm7 |
| * R-M3-M5-m8: Falling Major Triad addm7 | | * R-M3-M5-m8: Falling Major Triad addm7 |
| === Primodal theory ===
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| {{todo|Needs attention from primodalists}}
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|
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| 18edo may be a better basis for a style of oneirotonic primodality 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 40¢). In 18edo both the major fifth (+31.4¢) 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 +36.5¢ 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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|
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| 31nejis and 34nejis also provide opportunities to use dieses directly, since 1\31 (38.71¢) and 1\34 (35.29¢) are both dieses.
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| ==== Primodal chords ====
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| Some relatively low-complexity oneirotonic-inspired primodal chords. They are grouped by [[prime family]].
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|
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| Note: These are quick and dirty and should be field-tested.
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| ===== /11 =====
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| * 22:25:26:29:32:34:38:42:44 Undecimal Celephaïsian
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| * 22:25:26:29:32:34:38:40:44 Undecimal Ultharian
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| ===== /13 =====
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| * 13:15:19 Tridecimal Falling Ultraminor Triad
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| * 13:16:19 Tridecimal Falling Submajor Triad
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| * 13:16:21 Tridecimal Squashed 1st Inversion Minor Triad
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| * 13:17:19 Tridecimal Naiadic Maj2; Tridecimal Falling Sus4
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| * 13:17:20 Tridecimal Rising Sus4
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| * 13:17:21 Tridecimal Squashed 2nd Inversion Major Triad
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| * 13:16:19:22 Tridecimal Falling Major Tetrad
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| * 26:29:38 Tridecimal Falling Sus2 Triad
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| * 26:31:38 Tridecimal Falling Bright Minor Triad
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| * 26:33:38 Tridecimal Falling Bright Major Triad
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| * 26:29:34:38 Tridecimal Falling Sus24
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| * 26:29:31:34:38:40:44:49:52 Tridecimal Celeph (26 to 52)
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| * 52:58:61:68:76:80:88:98:104 Tridecimal Celeph (52 to 104, fitted more to 13edo)
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| * 26:29:31:34:38:40:44:47:52 Tridecimal Ulthar (26 to 52)
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| * 52:58:61:68:76:80:88:94:104 Tridecimal Ulthar (52 to 104, fitted more to 13edo)
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|
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| ===== /17 =====
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| * 17:20:25 Septendecimal Falling Minor Triad
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| * 17:21:25 Septen Falling Major Triad
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| * 17:20:26 Septen Rising Minor Triad
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| * 17:20:25:29 Septen Falling Minor Tetrad
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| * 17:21:25:29 Septen Falling Major Tetrad
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| * 17:20:26:29 Septen Rising Minor Triad addM6
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| * 34:41:50 Septen Falling Bright Minor Triad
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| * 34:43:50 Septen Falling Octodecous Major Triad (''octodecous'' means '18edo-like')
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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-r5-M6-M9-sub11-P12(fc)-M14)
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| * 34:40:52:58:76:89:102:110:129 (Celephaïsian + P5; R-min3-r5-M6-M9-sub11-P12(fc)-supmin13-M14)
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| * 34:40:50:58:89:102:129 (R-min3-f5-M6-M9-sub11-P12(rc)-M14)
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| * 34:40:50:58:89:102:110:129 (R-min3-f5-M6-M9-sub11-P12(rc)-supmin13-M14)
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| * 34:40:50:58:76:89:110:129 (R-m3-f5-M6-M9-sub11-supm13-M7)
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| * 34:40:50:58:76:89:102:110:129:208 (R-m3-f5-M6-M9-sub11-P12(rc)-supm13-M14-r19(rc^2))
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| * 34:38:40:44:49:52:58:64:68 Septen Celephaïsian
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| * 34:38:40:44:49:52:58:61:68 Septen Ultharian
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| ===== /19 =====
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| The notes 38:41:43:46:48:50:52:54:56:58:60:63:65:68:70:73:76 provide the best low complexity fit to oneirotonic (in particular, 18edo) in the [[prime family]] /19.
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| * 19:24:28 Novemdecimal Falling Bright Major Triad
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| * 19:23:28 Novem Falling Supraminor Triad
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| * 19:22:28 Novem Falling Ultraminor Triad
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| * 19:24:29 Novem Rising Major Triad
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| * 19:24:30 Novem Augmented Triad
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| * 19:24:43 Novem Major no5 add9
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| * 19:24:43:50 Novem Major no5 add9sub11
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| * 19:24:28:43:50 Novem Falling Major Triad add9 sub11
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| * 19:24:29:43:50 Novem Rising Major Triad add9 sub11
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| * 19:25:34 Novem Expanding Quartal
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| * 19:26:34 Novem Contracting Quartal
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| * 38:43:56 Novem Falling Minor Triad
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| * 38:45:56 Novemdecimal Falling Dark Major Triad
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| * 38:48:56:65 Novem Falling Major Tetrad
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| * 38:48:73 Novem Major Seventh no5
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| * 38:48:63 Novem Falling Major Triad
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| * 38:50:65 Novem Oneiro Quartal Triad
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| * 38:50:65:73 Novem Oneiro Quartal Seventh Tetrad
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| * 38:50:65:86 Novem Oneiro Core Tetrad
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| * 38:50:65:86:112 Novem Oneiro Core Pentad
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| * 38:50:65:86:112:146 Novem Oneiro Core Hexad
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| * 38:50:63 Novem Squashed First Inversion Neutral Triad
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| * 38:43:45:50:56:58:65:72:76 Novem Bright Celephaïsiann
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| * 38:42:44:49:55:58:65:72:76 Novem Dark Celephaïsian
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| * 38:43:45:50:56:58:65:68:76 Novem Bright Ultharian
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| * 38:42:44:49:55:58:65:68:76 Novem Dark Ultharian
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|
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| ===== /23 =====
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| 23(2:4) has many oneiro pitches, some close to 13edo, and some close to 18edo:
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| 46:48:50:51:52:54:56:57:58:60:63:65:67:68:70:73:74:76:79:82:83:85:87:88:92
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|
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| * 23:27:30 Vicesimotertial Falling Min4 no5
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| * 23:27:30:35:44 Vice Falling Min4 addM5,M7
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| * 23:27:37 Vice Orwell Tetrad no4
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| * 23:29:34 Vice Octodecous Falling Major Triad
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| * 46:54:68 Vice Octodecous Falling Minor Triad
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| * 46:54:60:67 Vice Falling Min4
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| * 46:54:63 Vice Squashed Dim
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| * 46:54:63:68 Vice Oneiro Half-diminished Tetrad
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| * 46:54:63:74 Vice Orwell Tetrad
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| * 46:54:67 Vice Tridecous Falling Minor Triad (''tridecous'' means '13edo-like')
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| * 46:57:67 Vice Tridecous Falling Major Triad
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| * 46:54:67:78 Vice Tridecous Falling Minor Tetrad
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| * 46:57:67:78 Vice Tridecous Falling Major Tetrad
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| * 46:54:60:67:78 Vice Falling Minor Tetrad Add Min4
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| * 46:60:67 Vice Falling Sus4
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| * 46:54:60:67 Vice Falling Min3 Sus4
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| * 46:52:58:60:68:76:79:89:92 Vice Bright Dylathian
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| * 46:51:57:60:67:75:78:88:92 Vice Dark Dylathian
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| * 46:52:58:60:68:71:79:89:92 Vice Bright Illarnekian
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| * 46:51:57:60:67:70:78:88:92 Vice Dark Illarnekian
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| * 46:52:54:60:68:71:79:89:92 Vice Bright Celephaïsian
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| * 46:51:54:60:67:70:78:88:92 Vice Dark Celephaïsian
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| * 46:52:54:60:68:71:79:83:92 Vice Bright Ultharian
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| * 46:51:54:60:67:70:78:82:92 Vice Dark Ultharian
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| * 46:52:54:60:64:71:79:83:92 Vice Bright Mnarian
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| * 46:51:54:60:63:70:78:82:92 Vice Dark Mnarian
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| * 46:49:54:60:64:71:79:83:92 Vice Bright Kadathian
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| * 46:48:54:60:63:70:78:82:92 Vice Dark Kadathian
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| * 46:49:54:60:64:71:75:83:92 Vice Bright Hlanithian
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| * 46:48:54:60:63:70:74:82:92 Vice Dark Hlanithian
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| * 46:49:54:58:64:71:75:83:92 Vice Bright Sarn
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| * 46:48:54:57:63:70:74:82:92 Vice Dark Sarn
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|
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| ===== /29 =====
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| * 29:34:38 Vicesimononal Falling Sus4
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| * 29:34:42 Vicenon Falling Minor Triad
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| * 29:36:42 Vicenon Falling Major Triad
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| * 29:34:40:47 Vicenon Orwell Tetrad
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| * 29:38:52 Vicenon Expanding Quartal Triad
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| * 29:40:52 Vicenon Contracting Quartal Triad
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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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| * 58:65:76:84:99:116 Vicenon Oneiro Falling Suspended Pentatonic
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| * 58:65:76:89:99:116 Vicenon Oneiro Rising Suspended Pentatonic
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| * 58:72:76:89:99:116 Vicenon Oneiro Symmetrical Pentatonic
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| * 58:72:76:89:104:116 Vicenon Oneiro Expanding Quartal Pentatonic
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| * 58:72:80:89:104:116 Vicenon Oneiro Diminished Pentatonic
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| * 58:65:72:80:84:94:99:110:116 Vicenon Dylydian
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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 Illarnekian
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| * 58:65:72:76:84:89:99:104:116 Vicenon Illarmixian
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| * 58:65:68:76:84:94:99:110:116 Vicenon Celdorian
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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 Mnionian
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| * 58:65:68:76:80:89:94:104:116 Vicenon Mnaeolian
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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 Ulphrygian
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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 Sardorian
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| * 5 8:61:68:72:80:89:94:104:116 Vicenon Sarnathian
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| * 58:61:68:72:80:84:94:104:116 Vicenon Sarlocrian
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| ===== /31 =====
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| * 62:69:73:81:90:95:106:111:118:124 Tricesimoprimal Oneirominor
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|
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| ===== /37 =====
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| * 74:82:87:97:107:113:126:140:148 Tricesimoseptimal Celeph
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| * 74:82:87:97:107:113:126:133:148 Trisept Ulthar
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|
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| ===== /41 =====
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| * 41:46:48:54:60:63:70:74:78:82 Quadricesimoprimal Oneirominor
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| * 82:91:96:107:119:126:140:147:155:164 Quadprimal Oneirominor (/82)
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| ===== /43 =====
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| * 86:96:101:112:125:132:147:155:163:172 Quadtertial Oneirominor (/86)
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| ===== /47 =====
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| * 47:52:55:61:68:72:80:84:89:94 Quadseptimal Oneirominor
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| ===== /53 =====
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| * 53:59:62:69:77:81:90:95:100:106 Quintertial Oneirominor
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| ===== /59 =====
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| * 59:66:69:77:86:90:101:106:112:118 Quinnonal Oneirominor
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| ===== /61 =====
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| * 61:68:72:80:89:93:104:110:116:122 Sessantaprimal Oneirominor
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|
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| ==== Nejis ====
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| The reader is encouraged to tweak these nejis and add more nejis that they like.
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| ===== 13nejis =====
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| # '''58''':61:65:'''68''':72:'''76''':80:84:89:94:99:'''104''':110:116 - A low-complexity 13neji; has /13, /17, /19, and /29 prime modes
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| #* For lower complexity, can use 64 instead of 65 or 100 instead of 99
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| # 92:97:102:108:114:120:127:134:141:149:157:165:174:184 - Vice 13neji
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| ===== 18nejis =====
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| # '''92''':96:100:'''104''':108:112:'''116''':120:125:130:'''136''':141:146:'''152''':158:164:170:177:184 - 18neji with /13, /17, /19, /23, and /29 prime modes
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| ===== 31nejis =====
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| # 92:94:96:98:101:103:105:108:110:113:115:118:120:123:126:129:132:135:138:141:144:147:150:154:157:161:165:168:172:176:180:184
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|
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| == Hyposoft oneiro theory == | | == Hyposoft oneiro theory == |
| 21edo has the [[Step ratio|soft]] [[oneirotonic]] (5L 3s) MOS with generator 8\21; in addition to the [[naiadic]]s (457.14¢) and extremely sharp fifths (742.85¢) that generate it, it has neutral thirds (instead of major thirds as in [[13edo]] oneirotonic), neogothic minor thirds, and Baroque diatonic semitones. The oneirofifths (4-step intervals) are more tritone-like than fifth-like, unlike in 13edo, although they do have a consonant, even JI-like quality to them. In terms of JI, it mainly approximates 5:9:11:13 and 16:23:30. Importantly, the sharp fifth is now harmonically much more fifth-like than the flat fifth, unlike in [[13edo]] and harder tunings. Rather than squashed tertian triads, it may be recommendable to use triads with sharp fifths, quartal harmony, secundal harmony, third+sixth and third+seventh chords, and using the JI approximations (subsets of 5:9:11:13, 9:10:11:13, 8:15:23, and 16:23:30). | | 21edo has the [[Step ratio|soft]] [[oneirotonic]] (5L 3s) MOS with generator 8\21; in addition to the [[naiadic]]s (457.14¢) and extremely sharp fifths (742.85¢) that generate it, it has neutral thirds (instead of major thirds as in [[13edo]] oneirotonic), neogothic minor thirds, and Baroque diatonic semitones. The oneirofifths (4-step intervals) are more tritone-like than fifth-like, unlike in 13edo, although they do have a consonant, even JI-like quality to them. In terms of JI, it mainly approximates 5:9:11:13 and 16:23:30. Importantly, the sharp fifth is now harmonically much more fifth-like than the flat fifth, unlike in [[13edo]] and harder tunings. Rather than squashed tertian triads, it may be recommendable to use triads with sharp fifths, quartal harmony, secundal harmony, third+sixth and third+seventh chords, and using the JI approximations (subsets of 5:9:11:13, 9:10:11:13, 8:15:23, and 16:23:30). |