User:Inthar/4L 3s: Difference between revisions

Revision as of 06:47, 4 May 2021

The intervals of the symmetric LsLsLsL mode (harmonics in bold): Sortable table of major and minor intervals in hypohard smitonic tunings:

Degree	11edo value	Note name on J	#Gens up
unison	0\11, 0.0	J	0
minor mos2nd	1\11, 109.1	K@	+4
major mos2nd	2\11, 218.2	K	-3
perf. mos3rd	3\11, 327.3	L	+1
aug. mos3rd	4\11, 436.4	L&	-6
minor mos4th	4\11, 436.4	M@	+5
major mos4th	5\11, 545.5	M	-2
minor mos5th	6\11, 656.6	N	+2
major mos5th	7\11, 763.6	N&	-5
dim. mos6th	7\11, 763.6	O@	+6
perf. mos6th	8\11, 872.7	O	-1
minor mos7th	9\11, 981.8	P	+3
major mos7th	10\11, 1090.9	P&	-4

Degree	18edo value	Note name on J	#Gens up
unison	0\18, 0.0	J	0
chroma	1\18, 66.7	J&	-7
dim. mos2nd	1\18, 66.7	K@@	+11
minor mos2nd	2\18, 133.3	K@	+4
major mos2nd	3\18, 200.0	K	-3
aug. mos2nd	4\18, 266.7	K&	-10
dim. mos3rd	4\18, 266.7	L@	+8
perf. mos3rd	5\18, 333.3	L	+1
aug. mos3rd	6\18, 400.0	L&	-6
doubly aug. mos3rd	7\18, 466.7	L&&	-13
dim. mos4th	6\18, 400.0	M@@	+12
minor mos4th	7\18, 466.7	M@	+5
major mos4th	8\18, 533.3	M	-2
aug. mos4th	9\18, 600.0	M&	-9
dim. mos5th	9\18, 600.0	N@	+9
minor mos5th	10\18, 666.7	N	+2
major mos5th	11\18, 733.3	N&	-5
aug. mos5th	12\18, 800.0	N&&	-12
doubly dim. mos6th	11\18, 733.3	O@@	+13
dim. mos6th	12\18, 800.0	O@	+6
perf. mos6th	13\18, 866.7	O	-1
aug. mos6th	14\18, 933.3	O&	-8
dim. mos7th	14\18, 933.3	P@	+10
minor mos7th	15\18, 1000.0	P	+3
major mos7th	16\18, 1066.7	P&	-4
aug. mos7th	17\18, 1133.3	P&	-11
dim. mosoctave	17\18, 1133.3	J@	+7

MODMOSes and chroma modification become more important. Use MODMOSes with SS = diminished mos3rd = 266.67¢. For example, rotations of LLLSLSS.

or 5L 1M 1S: LLMLLLS or LLSLLLM

Treat it as neutralized mavila antidiatonic?

@@ Line 77: / Line 77: @@
 * consonances: major 2nd, minor 3rd, sharp fourth, the minor seventh
 * dissonances: minor 2nd, major 3nd, flat fifth, minor 6th, major seventh
-===Modal harmony===
-{{main|Smitonic}}
-The seven modes are, from brightest to darkest:
-{| class="wikitable"
-|-
-| Nerevarine mode
-| LLSLSLS
-|-
-| Vivecan mode
-| LSLLSLS
-|-
-| Lorkhanic mode
-| LSLSLLS
-|-
-| Sothic mode
-| LSLSLSL
-|-
-| Kagrenacan mode
-| SLLSLSL
-|-
-| Almalexian mode
-| SLSLLSL
-|-
-| Dagothic mode
-| SLSLSLL
-|}
-Modally, the highest to lowest entropy scale degrees (unison = 1) are:
-* 2 and 7 (equally): .99 bits
-* 4 and 5 (equally): .86 bits
-* 3 and 6 (equally): .59 bits
-If a scale degree is high entropy it tends to be the most informative on average; the modes that have this interval as major and minor respectively are roughly a 50-50 split. This tells us that unlike in the diatonic scale, thirds and sixths are the ''least'' informative in distinguishing smitonic modes. On the other hand, seconds, fourths and sevenths are highly informative.
-In orgone, these scale degrees appear in the most consonant triads and tetrads of 11edo orgone, namely 8:9:11:15, 8:9:11:14 and 16:17:22:28. Those chords are therefore crucial for Orgone[7] modal harmony.
 == 18edo smitonic ==