User:Inthar/4L 3s: Difference between revisions
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{{breadcrumb|4L 3s}} | |||
==Modal harmony== | |||
{{main|Smitonic}} | |||
The seven modes are, from brightest to darkest: | |||
{| class="wikitable" | |||
|- | |||
| Nerevarine mode | |||
| <nowiki>6|0</nowiki> | |||
| LLSLSLS | |||
|- | |||
| Vivecan mode | |||
| <nowiki>5|1</nowiki> | |||
| LSLLSLS | |||
|- | |||
| Lorkhanic mode | |||
| <nowiki>4|2</nowiki> | |||
| LSLSLLS | |||
|- | |||
| Sothic mode | |||
| <nowiki>3|3</nowiki> | |||
| LSLSLSL | |||
|- | |||
| Kagrenacan mode | |||
| <nowiki>2|4</nowiki> | |||
| SLLSLSL | |||
|- | |||
| Almalexian mode | |||
| <nowiki>1|5</nowiki> | |||
| SLSLLSL | |||
|- | |||
| Dagothic mode | |||
| <nowiki>0|6</nowiki> | |||
| 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. | |||
== 11edo smitonic == | == 11edo smitonic == | ||
The intervals of the symmetric LsLsLsL mode (harmonics in bold): | The intervals of the symmetric LsLsLsL mode (harmonics in bold): | ||
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| minor mos2nd | | minor mos2nd | ||
| 1\11, 109.1 | | 1\11, 109.1 | ||
| | | [[/cdn-cgi/l/email-protection|[email protected]]] | ||
| +4 | | +4 | ||
|- | |- | ||
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| minor mos4th | | minor mos4th | ||
| 4\11, 436.4 | | 4\11, 436.4 | ||
| | | [[/cdn-cgi/l/email-protection|[email protected]]] | ||
| +5 | | +5 | ||
|- | |- | ||
| Line 56: | Line 98: | ||
| dim. mos6th | | dim. mos6th | ||
| 7\11, 763.6 | | 7\11, 763.6 | ||
| | | [[/cdn-cgi/l/email-protection|[email protected]]] | ||
| +6 | | +6 | ||
|- | |- | ||
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* consonances: major 2nd, minor 3rd, sharp fourth, the minor seventh | * consonances: major 2nd, minor 3rd, sharp fourth, the minor seventh | ||
* dissonances: minor 2nd, major 3nd, flat fifth, minor 6th, major seventh | * dissonances: minor 2nd, major 3nd, flat fifth, minor 6th, major seventh | ||
=== Modal harmony === | |||
== | My favorite 11edo smitonic modes are 6|0 (major analogue), 5|1 (minor analogue) and 0|6 (Freygish analogue). | ||
[[Category:Smitonic]] | |||
[[Category:Method]] | |||
[[Category:Approaches to tuning systems]] | |||
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