off-topic post for Joseph

>>-----Original Message-----
>>From: Paul H. Erlich <PErlich@...>
>>To: 'Joseph Pehrson' <jpehrson@...>
>>Date: February 28, 2001 5:34 PM
>>
>>
>>>Hi Joseph.
>>>
>>>Since you 'chose' the following scale:
>>>
>>>
>>>Unison vectors:
>>> 2 -3 1
>>> -5 1 2
>>> -3 3 1
>>>Scale:
>>> cents numerator denominator
>>> 0 1 1
>>> 48.77 36 35
>>> 119.44 15 14
>>> 182.4 10 9
>>> 266.87 7 6
>>> 315.64 6 5
>>> 386.31 5 4
>>> 435.08 9 7
>>> 498.04 4 3
>>> 568.72 25 18
>>> 631.28 36 25
>>> 701.96 3 2
>>> 764.92 14 9
>>> 813.69 8 5
>>> 884.36 5 3
>>> 933.13 12 7
>>> 1017.6 9 5
>>> 1080.6 28 15
>>> 1151.2 35 18
>>>Lattice:
>>> 25/18
>>> /|\
>>> / | \
>>> /35/18\
>>> /,'/ \`.\
>>> 10/9-/---\-5/3-------5/4
>>> |\/ \/|\ / \`.
>>> |/\ /\| \ / \15/14
>>> 14/9-------7/6 \ / \/|\
>>> \`.\ /,'/ `.\ / /\| \
>>> \ 4/3-/-----1/1-------3/2 \
>>> \ |\/ / \`. /,'/ \`.\
>>> \|/\ / \12/7-/---\-9/7
>>> 28/15\ / \ |\/ \/|
>>> `.\ / \|/\ /\|
>>> 8/5-------6/5-------9/5
>>> \`.\ /,'/
>>> \36/35/
>>> \ | /
>>> \|/
>>> 36/25
>>>
>>>
>>>I thought you'd probably be interested to know that, by simply shifting
>the
>>>position of the paralellopiped defined by the unison vectors, you end up
>>>with the following scale:
>>>
>>> cents numerator denominator
>>> 0 1 1
>>> 70.672 25 24
>>> 119.44 15 14
>>> 203.91 9 8
>>> 266.87 7 6
>>> 315.64 6 5
>>> 386.31 5 4
>>> 435.08 9 7
>>> 519.95 875 648
>>> 568.72 25 18
>>> 631.28 36 25
>>> 701.96 3 2
>>> 750.73 54 35
>>> 835.59 175 108
>>> 884.36 5 3
>>> 955.03 125 72
>>> 1017.6 9 5
>>> 1066.4 324 175
>>> 1151.2 35 18
>>>
>>>
>>> 875/648
>>> \
>>> \ 125/72
>>> \ / \
>>> \ / \
>>> 175/108 / \
>>> \`. / \
>>> \25/18-----25/24
>>> \ |\ / \
>>> \| \ / \
>>> 35/18\ / \
>>> \`.\ / \
>>> \ 5/3-------5/4
>>> \ |\ / \`.
>>> \| \ / \15/14
>>> 7/6 \ / \ |\
>>> `.\ / \| \
>>> 1/1-------3/2-------9/8
>>> \ / \`.\ ,'/
>>> \ / \ 9/7 /
>>> \ / \ |\/
>>> \ / \|/\
>>> 6/5-------9/5 \
>>> \ / `.\
>>> \ / 54/35
>>> \ / \
>>> \ / \
>>> 36/25 \
>>> \
>>> 324/175
>>>
>>>This "shifting" can of course be done for any periodicity block . . .

--- In harmonic_entropy@y..., "Paul H. Erlich" <PERLICH@A...> wrote:

Thanks, Paul! This printed out just great!

Joseph