Generator sequence: Difference between revisions
From Xenharmonic Reference
mNo edit summary |
mNo edit summary |
||
| Line 4: | Line 4: | ||
which means: stack interval2 on top of interval1, interval3 on top of interval2, etc. up to intervaln, then stack interval1 again and repeat. | which means: stack interval2 on top of interval1, interval3 on top of interval2, etc. up to intervaln, then stack interval1 again and repeat. | ||
For example: GS(7/6, 8/7) means an alternating stack of 7/6 and 8/7. Like for temperaments, [n] can be used to mean "stop at n notes", so GS(7/6, 8/7)[9] creates the 2.3.7 (right-hand) diasem scale. | |||
Generator sequences generalize [[MOS]] scales and are often used to create higher-rank scales. | Generator sequences generalize [[MOS]] scales and are often used to create higher-rank scales. | ||
[[Category:Scale construction]] | [[Category:Scale construction]] | ||
Revision as of 06:54, 21 December 2025
A generator sequence (GS) is a cyclically repeating sequence of stacked intervals. A GS can be denoted:
GS(interval1, interval2, interval3, ..., intervaln),
which means: stack interval2 on top of interval1, interval3 on top of interval2, etc. up to intervaln, then stack interval1 again and repeat.
For example: GS(7/6, 8/7) means an alternating stack of 7/6 and 8/7. Like for temperaments, [n] can be used to mean "stop at n notes", so GS(7/6, 8/7)[9] creates the 2.3.7 (right-hand) diasem scale.
Generator sequences generalize MOS scales and are often used to create higher-rank scales.
