3L 4s: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
ArrowHead294 (talk | contribs) m →Theory |
||
| (7 intermediate revisions by 4 users not shown) | |||
| Line 15: | Line 15: | ||
== Scale properties == | == Scale properties == | ||
{{TAMNAMS use}} | {{TAMNAMS use}} | ||
==== Proposed names | === Intervals === | ||
{{MOS intervals}} | |||
=== Generator chain === | |||
{{MOS genchain}} | |||
=== Modes === | |||
{{MOS mode degrees}} | |||
=== Proposed names === | |||
The first set of mode nicknames was coined by [[Andrew Heathwaite]]. The other set was coined by [[User:CellularAutomaton|CellularAutomaton]] and follows the diatonic modes' naming convention by using ancient Greek toponyms that sound similar to Heathwaite's names. The third shows which modes are a mixture of which diatonic modes, as discussed in [[#Theory]]. | |||
{{MOS modes | {{MOS modes | ||
| Table Headers=Mode names<br | | Table Headers= | ||
Mode names<br>(Heathwaite) $ | |||
Mode names<br>(CA) $ | |||
Mixed diatonic<br>modes $ | |||
| Table Entries= | | Table Entries= | ||
Dril $ | Dril $ | ||
Dalmatian $ | Dalmatian $ | ||
Dorian + Lydian $ | |||
Gil $ | Gil $ | ||
Galatian $ | Galatian $ | ||
Aeolian + Lydian $ | |||
Kleeth $ | Kleeth $ | ||
Cilician $ | Cilician $ | ||
Aeolian + Ionian $ | |||
Bish $ | Bish $ | ||
Bithynian $ | Bithynian $ | ||
Phrygian + Ionian $ | |||
Fish $ | Fish $ | ||
Pisidian $ | Pisidian $ | ||
Phrygian + Mixolydian $ | |||
Jwl $ | Jwl $ | ||
Illyrian $ | Illyrian $ | ||
Locrian + Mixolydian $ | |||
Led $ | Led $ | ||
Lycian $ | Lycian $ | ||
Locrian + Dorian $ | |||
}} | }} | ||
== Theory == | == Theory == | ||
Mosh can be thought of as a midpoint between two diatonic scales which are two cyclic orders away from each other. For example, sLsLsLs is the midpoint between the Ionian (major, LLsLLLs) and Phrygian (sLLLsLL) modes. You can prove this by simple addition: | |||
<pre> | |||
2 2 1 2 2 2 1 (LLsLLLs) | |||
+ 1 2 2 2 1 2 2 (sLLLsLL) | |||
= 3 4 3 4 3 4 3 (sLsLsLs) | |||
</pre> | |||
The rest of the equivalencies are listed in [[#Proposed names]]. | |||
=== Low harmonic entropy scales === | === Low harmonic entropy scales === | ||
There are two notable harmonic entropy minima: | There are two notable harmonic entropy minima: | ||
* [[Neutral third scales]], such as dicot, hemififth, and mohajira, in which the generator is a neutral | * [[Neutral third scales]], such as dicot, hemififth, and mohajira, in which the generator is a neutral third (around 350{{c}}) and two of them make a 3/2 (702{{c}}). | ||
* [[Magic]], in which the generator is 5/4 (386{{c}}) and | * [[Magic]], in which the generator is 5/4 (386{{c}}) and five of them make a 3/1 (1902{{c}}), though the step ratios in this range are very hard to the point of being lopsided. | ||
== Tuning ranges == | == Tuning ranges == | ||
| Line 193: | Line 220: | ||
| 25/24 | | 25/24 | ||
|} | |} | ||
== Scales == | |||
* [[Mohaha7]] – 38\131 tuning | |||
* [[Neutral7]] – 111\380 tuning | |||
* [[Namo7]] – 128\437 tuning | |||
* [[Rastgross1]] – POTE tuning of [[namo]] | |||
* [[Hemif7]] – 17\58 tuning | |||
* [[Suhajira7]] – POTE tuning of [[suhajira]] | |||
* [[Sephiroth7]] – 9\29 tuning | |||
* [[Magic7]] – 46\145 tuning | |||
== Scale tree == | == Scale tree == | ||