a generalisation of the major mode in 12-tET

Manuel Op de Coul wrote,

> Your 11-tone mode is the same as Balzano's. Zweifel's generalised
diatonic scale is a mode of it; the only difference is that B is one
step lower (1080 cents). Zweifel uses exactly the same letters as you.
In the paper he gives a number of arguments why he considers this
scale a generalisation of the major mode in 12-tET. The fact that
20=4x5 and 12=3x4 being one of them.

Thanks for the additional info here Manuel (I guess it turned out to
be a good thing that I wasn't too overly fired up about all this in
the first place!). Do you happen to also know if he also gave any form
of pentads as the basic chords:

major:

,A
, |
, / |
, |
,B. |
, | `. / |
, | `. |
, | `. |
C.-------+--/----,J
`. | ,
`. | ,
`. |/,
`K

minor:

,B.
, | `.
, / | `.
, | `.
C.-------+-------,J
| `. / | ,
| `. | ,
| `. | ,
| / ,K
| ,
| ,
|/,
Ab

where the "generalized major mode" is seen as a I-VI-VII:
_____ _____
/ \ / \
F E D C B A K J I H G
\_____/

three pentad coverage (analogous to the I-IV-V, three triad coverage
of 12-tET?):

,D.
, | `.
, / | `.
, | `.
,E.-------+-------,A.
, | `. / | , | `.
, | `. | , / | `.
, | `. | , | `.
F.-------+--/----,B.-------+-------,I
`. | , | `. / | , |
`. | , | `. | , / |
`. |/, | `. | , |
`C.-------+--/----,J. |
`. | , | `. / |
`. | , | `. |
`. |/, | `. |
`K.-------+--/----,G
`. | ,
`. | ,
`. |/,
`H

thanks,
Dan