transitional Monzo lattices from John Chalmers 1999-4-7, set 2

transitional lattices - from regular Monzo Plot to cents-proportional

From: John Chalmers
Reply-To: jhchalmers@UCSD.Edu
To: Joe Monzo
Subject: 4 more lattices
Date: Wed, 07 Apr 1999 17:00:51 +0000

Joe: I've attached a series of lattices showing the transition from the Monzo 7 limit to the type I've been experimenting with. I still need to redo the standard rectilinear and the centered-triangular. I think I'll delete the axes from the proportional rectilinear, but it was a step along the way to the NCP type I sent earlier. I'll do a 7 limit diamond again.

The MP (Monzo Plot) should be clear.

7-Limit Diamond, Monzo Plot

PMP means the lengths of the axis units are proportional to the cents of the octave reduced primes.

7-Limit Diamond, Proportional Monzo Plot

The Scaled Proportional plots scale the prime and inverse intervals according to their cents values. Hence the inversions of intervals have shorter connecting links than the prime forms.

7-Limit Diamond, Scaled Proportional Monzo Plot

The PRP plots are rectilinear plots with cents scaled axes. The angles are 0, 90 and 30 for 3, 5 and 7. The 12-tet marker circles are included.

7-Limit Diamond, Proportional Rectangular Plot

--John
Attachment: 7LimitDiamondMP
Attachment: 7LimitDiamondPMP
Attachment: 7LimitDiamondSPMP
Attachment: 7limitDiamondPRPax

created 1999-4-7

next message on lattices

For many more diagrams and explanations of historical tunings, see my book.
If you don't understand my theory or the terms I've used, start here
or try some definitions.

I welcome feedback about this webpage:
corrections, improvements, good links.
Let me know if you don't understand something.

return to my home page

return to the Sonic Arts home page