Kite's thoughts on pergens: Difference between revisions

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The '''genchain''' (chain of generators) in the table is only a short section of the full genchain.

C - G implies ...Eb Bb F C G D A E B F# C#...C -~~ ~~^~~~~Eb=~~vE~~ - G implies ...F --~~ ~~^~~~~Ab=~~vA~~ -- C --~~ ~~^~~~~Eb=~~vE~~ -- G --~~ ~~^~~~~Bb=~~vB~~ -- D...

C - G implies ...Eb Bb F C G D A E B F# C#...C - ^Eb=vE - G implies ...F -- ^Ab=vA -- C -- ^Eb=vE -- G -- ^Bb=vB -- D...

If the octave is split, the table has a '''perchain''' ("peer-chain", chain of periods) that shows the octave: C -- vF#=^Gb -- C. Genchains have a theoretically infinite length, but perchains have a finite length. The full rank-2 lattice has genchains running horizontally and perchains running vertically.

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 The '''genchain''' (chain of generators) in the table is only a short section of the full genchain.
-<span style="display: block; text-align: center;">C - G implies ...Eb Bb F C G D A E B F# C#...</span><span style="display: block; text-align: center;">C -</span> <span style="display: block; text-align: center;">^</span><span style="display: block; text-align: center;">Eb=</span><span style="display: block; text-align: center;">v</span><span style="display: block; text-align: center;">E - G implies ...F --</span> <span style="display: block; text-align: center;">^</span><span style="display: block; text-align: center;">Ab=</span><span style="display: block; text-align: center;">v</span><span style="display: block; text-align: center;">A -- C --</span> <span style="display: block; text-align: center;">^</span><span style="display: block; text-align: center;">Eb=</span><span style="display: block; text-align: center;">v</span><span style="display: block; text-align: center;">E -- G --</span> <span style="display: block; text-align: center;">^</span><span style="display: block; text-align: center;">Bb=</span><span style="display: block; text-align: center;">v</span><span style="display: block; text-align: center;">B -- D...</span>
+<span style="display: block; text-align: center;">C - G implies ...Eb Bb F C G D A E B F# C#...</span><span style="display: block; text-align: center;">C - ^Eb=vE - G implies ...F -- ^Ab=vA -- C -- ^Eb=vE -- G -- ^Bb=vB -- D...</span>
 If the octave is split, the table has a '''perchain''' ("peer-chain", chain of periods) that shows the octave: C -- vF#=^Gb -- C. Genchains have a theoretically infinite length, but perchains have a finite length. The full rank-2 lattice has genchains running horizontally and perchains running vertically.