User:Kaiveran/Nupelog
Nupelog is a 7-note generator-offset scale with step pattern 2L 2M 3s (sMLssML), equivalent to the 2L 5s MOS with two of the small steps made larger. It occupies a broad triangle on the chart of MV3 scales, whose vertices are generators [0\1,1\2] degenerate to 2edo, [2\7,4\7] degenerate to 7edo, and [1\2,1\2] again degenerate to 2edo.
Unanswered Questions:
*Is it chiral?
*What are the just intervals strongly implied by certain tunings?
"Nupelog" is a name given to this region by Kaiveran, reflecting both the pelogic family of temperaments, and the fact that several measured tunings of the Indonesian pelog have a very similar step pattern.
Intervals
The following is a table of nupelog intervals and their abstract sizes in terms of L, M and s. Given concrete sizes of L, M and s in edo steps or cents, you can compute the concrete size of any interval in nupelog using the following expressions.
| Interval class | Sizes | ??? | ??? | ??? |
|---|---|---|---|---|
| 1-step | ||||
| 2-step | ||||
| 3-step | ||||
| 4-step | ||||
| 5-step | ||||
| 6-step |
Since nupelog is heptatonic, there is little issue with calling the "perfect 7-step" the octave, as in diatonic music.
Modes
Cyclic order
The modes arranged in cyclic order:
| Pattern | Name |
|---|---|
| sMLssML | Nupelog Anti-Ionian |
| MLssMLs | Nupelog Anti-Dorian |
| LssMLsM | Nupelog Anti-Phrygian |
| ssMLsML | Nupelog Anti-Lydian |
| sMLsMLs | Nupelog Anti-Mixolydian |
| MLsMLss | Nupelog Anti-Aeolian |
| LsMLssM | Nupelog Anti-Locrian |
By generator chain
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Properties
- The fifth of nupelog must be a superflat fifth, as its limit of 4\7edo is by definition the boundary between diatonic and superflat tunings.
- ???
Tunings
Examples
Scala files
- SNOGO-Nupelog (playable live here)
See also
- ???
- Indonesian