previous message on lattices


octave-reduced, not yet angled properly


From: John Chalmers
Reply-To: jhchalmers@UCSD.Edu
To: Joe Monzo
Subject: More Lattices
Date: Sun, 04 Apr 1999 14:22:40 +0000

Joe: I've finished the 7-limit proportional Monzo lattices where both the angles and the radius vectors are proportional to the cents values of the intervals. The first is the 3 axes, red is 3's at about 60 degrees to the horizontal and with positive values heading towards the upper right corner. The green 5's is about 154 degrees above the horizontal, but pointing toward the upper left. The blu 7's at -20 or so has it's positive direction toward the lower right. the Axes plot as 1/1 and 1+, +2, and -1, -2 steps, octave scaled, in each direction on each axis (1/1 3/2 4/3 9/8, 16/9, etc.). The other two are Diamonds using this plotting convention.

I'll send a copy to Ken. BTW, these are PICT files, I can probably GIF or Jpg them if absolutely necessary

Happy Easter!

--John

Attachment: 5LimitDiamondPPM
Attachment: 7-limitAxesPPM
Attachment: 7LimitDiamondPPM

====================================

From: John Chalmers
Reply-To: jhchalmers@UCSD.Edu
To: Joe Monzo
Subject: Premature..
Date: Sun, 04 Apr 1999 16:10:06 +0000

Joe: I sent you the latest lattices too soon; I've discovered that intervals such as 16/15 and 15/8 are showing up in the wrong quadrants and that the 3 axis angle is too steep. Sorry.

--john


5-Limit Tonality Diamond - Cent-Proportional Monzo Plot


7-limit Axes - Cents-Proportional Monzo Plot


7-Limit Tonality Diamond - Cents-Proportional Monzo Plot


created 1999-4-4, last updated 1999-4-6

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