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Re: HEWM notation calculator

🔗monz <joemonz@yahoo.com>

3/4/2002 6:15:32 PM

re:
http://www.ixpres.com.interval/dict/hewm.xls

here's a great example of how the JI version of HEWM
differs from the 72edo version (the 72edo simplifies things):

say i want to find the notation for the ratio 42:25,
assuming that C = 1/1.

the first thing to do on the spreadsheet is to make
sure that there's a zero next to "C" in the column
of cyan cells near the top. this defines "C" as 1/1.

then put in the target ratio. whether using the method
of inputting "comma" exponents or inputting the notation
directly, the result will be the same:

2 3 5 7 11

target ratio: [ 1 1 -2 1 0] 42/25 898.2
HEWM: B bb - [ 15 -9 0 0 0] 32768/19683 882.4
-------------------
[-14 10 -2 1 0] 413343/409600 15.7
< - [ -6 2 0 1 0] 63/64 -27.3
-------------------
[ -8 8 -2 0 0] 6561/6400 43.0
+ - [ -4 4 -1 0 0] 81/80 21.5
-------------------
[ -4 4 -1 0 0] 81/80 21.5
+ - [ -4 4 -1 0 0] 81/80 21.5
-------------------
[ 0 0 0 0 0] 1/1 0.0

so the JI HEWM notation for 42:25 is Bbb<++.

this is simplified in 72edo, because in 72edo, < = --
and > = ++, so we have Bbb<>, and the <> cancel each
other out, leaving us with just Bbb.

in the JI version of HEWM, > and ++ are not the same.

-monz

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