Coppner
Joined 10 August 2024
No edit summary |
No edit summary |
||
| Line 5: | Line 5: | ||
'''[DRAFT] Non-octave / generalized (?) overtone scale'''<br> | '''[DRAFT] Non-octave / generalized (?) overtone scale'''<br> | ||
TODO: research if a generalized form like this already exists<br><br> | TODO: research if a generalized form like this already exists<br> | ||
COS - constrained otonal sequence<nowiki><br></nowiki> | |||
in comparison to<nowiki><br></nowiki> | |||
OS: COS is constrained, OS is open ended, | |||
<br> | |||
Non-octave overtone scales are an approach to describe [[Overtone scale|overtone scales]] without the need of the [[octave]] as the period.<br> | Non-octave overtone scales are an approach to describe [[Overtone scale|overtone scales]] without the need of the [[octave]] as the period.<br> | ||
Therefore, they are [[non-octave]]-repeating scales based on a generating sequence which itself is a subset of the [[harmonic series]].<br> | Therefore, they are [[non-octave]]-repeating scales based on a generating sequence which itself is a subset of the [[harmonic series]].<br> | ||
They can also be viewed as a form of [[ | They can also be viewed as a form of [[generator sequence]].<br> | ||
Non-octave overtone scales are described by the form '''n...p:s'''<br> | Non-octave overtone scales are described by the form '''n...p:s'''<br> | ||
| Line 32: | Line 40: | ||
etc. | etc. | ||
5:7:8:10:11:12 | |||
- is pentatonic | |||
- period is 12/5 | |||
- is arithmetic | |||
- is non-equal, (arithmetic) step sizes: 2/5, 1/5, 2/5, 1/5, 1/5 | |||
- is still harmonotonic though? by nature of being a subset of the harmonic series | |||
in my own semantics, I'd refer to it by 5->12[2,1,2,1,1] (from including overtone 5 to including overtone 12 | |||
in MTS-ESP Master I'd use the same semantics | |||
in comparison to OS | |||
OS has one step size (interval p) and does not care about the end of the sequence/ the period, rather, it's approach is 'take the first n in the sequence' | |||
I could do 2-OS2/5 but that would generate 5:7:9 | |||
in comparison to OD | |||
could be one specific scale/subset of 6-OD5/4 [5:6:7:8:9:10:11] | |||