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The orwell family

🔗Gene Ward Smith <gwsmith@svpal.org>

6/7/2004 5:45:04 PM

orwell 2109375/2097152 comma
[1200.24, 271.65]

7-limit orwell

0: <<7 -3 8 -21 -7 27|| orwell {225/224, 1728/1715}
[1199.533, 271.494]

11-limit orwell family

0: <<7 -3 8 2 -21 -7 -21 27 15 -22|| {99/98, 121/120, 176/175}
[1201.25, 271.43]

9: <<7 -3 8 11 -21 -7 -7 -27 36 3|| {45/44, 56/55, 1728/1715}
[1195.02, 270.47]

-22: <<7 -3 8 -20 -21 -7 -56 27 -36 -84|| {100/99, 225/224, 1728/1715}
[1199.23, 271.82]

31: <<7 -3 8 33 -21 -7 28 27 87 65|| {225/224, 441/440, 1728/1715}
[1200.56, 271.44]

🔗Herman Miller <hmiller@IO.COM>

6/7/2004 7:27:08 PM

Gene Ward Smith wrote:

> 11-limit orwell family
> > 0: <<7 -3 8 2 -21 -7 -21 27 15 -22|| {99/98, 121/120, 176/175}
> [1201.25, 271.43]

This is an 11-limit version of orwell that I've been playing with from time to time, although I've mostly been using 7-limit scales recently. You can fine-tune it to get a 22-note MOS that represents all 11-limit intervals consistently (anything between 1/1 and 2/1 with a numerator of 11 or less). That's a characteristic that most of the good 7-limit temperaments seem to have, including meantone, miracle, kleismic, porcupine, pajara, injera, and even some of the more exotic ones like #82 (which I've been calling "lemba").