octavate

The string, originally divided, will continue for some time to “octavate”.

Ability to ornament, octavate, play chords and do some improvising.

A 12-string doubles the octaves of only the lower four strings…. A doubled, capoed guitar “octavates up” the top two strings.

To octavate the number one hundred the reasoning is as follows. The square of eight goes into one hundred once with remainder thirty-six. This remainder contains eight to the first power four times with remainder four. Hence to express one hundred to the base 8 we write the digits 144 which in somewhat longer form may be put as 100 = 1×8² + 4×8 + 4.