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5L 3s: Difference between revisions

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* 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 ==
{{todo|Needs attention from primodalists}}
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).
31nejis and 34nejis also provide opportunities to use dieses directly, since 1\31 (38.71¢) and 1\34 (35.29¢) are both dieses.
=== Primodal chords ===
Some relatively low-complexity oneirotonic-inspired primodal chords. They are grouped by [[prime family]].
==== /11 ====
* 22:25:26:29:32:34:38:42:44 Undecimal Celephaïsian
* 22:25:26:29:32:34:38:40:44 Undecimal Ultharian
==== /13 ====
* 13:15:19 Tridecimal Falling Ultraminor Triad
* 13:16:19 Tridecimal Falling Submajor Triad
* 13:16:21 Tridecimal Squashed 1st Inversion Minor Triad
* 13:17:19 Tridecimal Naiadic Maj2; Tridecimal Falling Sus4
* 13:17:20 Tridecimal Rising Sus4
* 13:17:21 Tridecimal Squashed 2nd Inversion Major Triad
* 13:16:19:22 Tridecimal Falling Major Tetrad
* 26:29:38 Tridecimal Falling Sus2 Triad
* 26:31:38 Tridecimal Falling Bright Minor Triad
* 26:33:38 Tridecimal Falling Bright Major Triad
* 26:29:34:38 Tridecimal Falling Sus24
==== /17 ====
* 17:20:25 Septendecimal Falling Minor Triad
* 17:21:25 Septen Falling Major Triad
* 17:20:26 Septen Rising Minor Triad
* 17:20:25:29 Septen Falling Minor Tetrad
* 17:21:25:29 Septen Falling Major Tetrad
* 17:20:26:29 Septen Rising Minor Triad addM6
* 34:41:50 Septen Falling Bright Minor Triad
* 34:43:50 Septen Falling Octodecous Major Triad (''octodecous'' means '18edo-like')
* 34:40:47:55 Septen Orwell Tetrad
* 34:40:52:58:76:89:102:129 (Celephaïsian + P5; R-min3-r5-M6-M9-sub11-P12(fc)-M14)
* 34:40:52:58:76:89:102:110:129 (Celephaïsian + P5; R-min3-r5-M6-M9-sub11-P12(fc)-supmin13-M14)
* 34:40:50:58:89:102:129 (R-min3-f5-M6-M9-sub11-P12(rc)-M14)
* 34:40:50:58:89:102:110:129 (R-min3-f5-M6-M9-sub11-P12(rc)-supmin13-M14)
* 34:40:50:58:76:89:110:129 (R-m3-f5-M6-M9-sub11-supm13-M7)
* 34:40:50:58:76:89:102:110:129:208 (R-m3-f5-M6-M9-sub11-P12(rc)-supm13-M14-r19(rc^2))
* 34:38:40:44:49:52:58:64:68 Septen Celephaïsian
==== /19 ====
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.
* 19:24:28 Novemdecimal Falling Bright Major Triad
* 19:23:28 Novem Falling Supraminor Triad
* 19:22:28 Novem Falling Ultraminor Triad
* 19:24:29 Novem Rising Major Triad
* 19:24:30 Novem Augmented Triad
* 19:24:43 Novem Major no5 add9
* 19:24:43:50 Novem Major no5 add9sub11
* 19:24:28:43:50 Novem Falling Major Triad add9 sub11
* 19:24:29:43:50 Novem Rising Major Triad add9 sub11
* 19:25:34 Novem Expanding Quartal
* 19:26:34 Novem Contracting Quartal
* 38:43:56 Novem Falling Minor Triad
* 38:45:56 Novemdecimal Falling Dark Major Triad
* 38:48:56:65 Novem Falling Major Tetrad
* 38:48:73 Novem Major Seventh no5
* 38:48:63 Novem Falling Major Triad
* 38:50:65 Novem Oneiro Quartal Triad
* 38:50:65:73 Novem Oneiro Quartal Seventh Tetrad
* 38:50:65:86 Novem Oneiro Core Tetrad
* 38:50:65:86:112 Novem Oneiro Core Pentad
* 38:50:65:86:112:146 Novem Oneiro Core Hexad
* 38:50:63 Novem Squashed First Inversion Neutral Triad
* 38:43:45:50:56:58:65:72:76 Novem Bright Celephaïsian
* 38:42:44:49:55:58:65:72:76 Novem Dark Celephaïsian
==== /23 ====
23(2:4) has many oneiro pitches, some close to 13edo, and some close to 18edo:
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
* 23:27:30 Vicesimotertial Falling Min4 no5
* 23:27:30:35:44 Vice Falling Min4 addM5,M7
* 23:27:37 Vice Orwell Tetrad no4
* 23:29:34 Vice Octodecous Falling Major Triad
* 46:54:68 Vice Octodecous Falling Minor Triad
* 46:54:60:67 Vice Falling Min4
* 46:54:63 Vice Squashed Dim
* 46:54:63:68 Vice Oneiro Half-diminished Tetrad
* 46:54:63:74 Vice Orwell Tetrad
* 46:54:67 Vice Tridecous Falling Minor Triad (''tridecous'' means '13edo-like')
* 46:57:67 Vice Tridecous Falling Major Triad
* 46:54:67:78 Vice Tridecous Falling Minor Tetrad
* 46:57:67:78 Vice Tridecous Falling Major Tetrad
* 46:54:60:67:78 Vice Falling Minor Tetrad Add Min4
* 46:60:67 Vice Falling Sus4
* 46:54:60:67 Vice Falling Min3 Sus4
* 46:52:58:60:68:76:79:89:92 Vice Bright Dylathian
* 46:51:57:60:67:75:78:88:92 Vice Dark Dylathian
* 46:52:58:60:68:71:79:89:92 Vice Bright Illarnekian
* 46:51:57:60:67:70:78:88:92 Vice Dark Illarnekian
* 46:52:54:60:68:71:79:89:92 Vice Bright Celephaïsian
* 46:51:54:60:67:70:78:88:92 Vice Dark Celephaïsian
* 46:52:54:60:68:71:79:83:92 Vice Bright Ultharian
* 46:51:54:60:67:70:78:82:92 Vice Dark Ultharian
* 46:52:54:60:64:71:79:83:92 Vice Bright Mnarian
* 46:51:54:60:63:70:78:82:92 Vice Dark Mnarian
* 46:49:54:60:64:71:79:83:92 Vice Bright Kadathian
* 46:48:54:60:63:70:78:82:92 Vice Dark Kadathian
* 46:49:54:60:64:71:75:83:92 Vice Bright Hlanithian
* 46:48:54:60:63:70:74:82:92 Vice Dark Hlanithian
* 46:49:54:58:64:71:75:83:92 Vice Bright Sarn
* 46:48:54:57:63:70:74:82:92 Vice Dark Sarn
==== /29 ====
* 29:34:38 Vicesimononal Falling Sus4
* 29:34:42 Vicenon Falling Minor Triad
* 29:36:42 Vicenon Falling Major Triad
* 29:34:40:47 Vicenon Orwell Tetrad
* 29:38:52 Vicenon Expanding Quartal Triad
* 29:40:52 Vicenon Contracting Quartal Triad
* 29:38:65:84:99 Vicenon Oneiro Core Pentad
* 29:38:65:84:99:110 Vicenon Oneiro Core Hexad
* 58:65:76:84:99:116 Vicenon Oneiro Falling Suspended Pentatonic
* 58:65:76:89:99:116 Vicenon Oneiro Rising Suspended Pentatonic
* 58:72:76:89:99:116 Vicenon Oneiro Symmetrical Pentatonic
* 58:72:76:89:104:116 Vicenon Oneiro Expanding Quartal Pentatonic
* 58:72:80:89:104:116 Vicenon Oneiro Diminished Pentatonic
* 58:65:72:80:84:94:99:110:116 Vicenon Dylydian
* 58:65:72:76:84:94:99:110:116 Vicenon Dylathian
* 58:65:72:76:84:89:99:110:116 Vicenon Illarnekian
* 58:65:72:76:84:89:99:104:116 Vicenon Illarmixian
* 58:65:68:76:84:94:99:110:116 Vicenon Celdorian
* 58:65:68:76:84:89:99:110:116 Vicenon Celephaïsian
* 58:65:68:76:84:89:99:104:116 Vicenon Ultharian
* 58:65:68:76:80:89:99:104:116 Vicenon Mnarian
* 58:65:68:76:80:89:99:110:116 Vicenon Mnionian
* 58:65:68:76:80:89:94:104:116 Vicenon Mnaeolian
* 58:61:68:76:80:89:99:104:116 Vicenon Kadathian
* 58:61:68:76:84:89:99:104:116 Vicenon Ulphrygian
* 58:61:68:76:80:89:94:104:116 Vicenon Hlanithian
* 58:61:68:72:80:89:99:104:116 Vicenon Sardorian
* 58:61:68:72:80:89:94:104:116 Vicenon Sarnathian
* 58:61:68:72:80:84:94:104:116 Vicenon Sarlocrian
==== /47 ====
* 47:52:55:61:68:72:80:89:94 Quadseptimal Celephaïsian
==== /61 ====
* 61:68:72:80:89:93:104:116:122 Sessantunesimal Celephaïsian
==== Over small prime multiples ====
=== Some hypohard oneirotonic nejis ===
The reader is encouraged to tweak these nejis and add more nejis that they like.
==== 13nejis ====
# '''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
#* For lower complexity, can use 64 instead of 65 or 100 instead of 99
# 92:97:102:108:114:120:127:134:141:149:157:165:174:184 - Vice 13neji
==== 18nejis ====
# '''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


== Hyposoft oneiro theory ==
== Hyposoft oneiro theory ==
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