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.
*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.
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.
Since nupelog is heptatonic, there is little issue with calling the "perfect 7-step" the octave, as in diatonic music.
The modes arranged in cyclic order:
By generator chain
- 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.