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| = ARCHIVED WIKISPACES DISCUSSION BELOW =
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| '''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
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| == Typographical change ==
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| In the first rows, I marked the specifically new ratios that result from the limit increment. I found that gives this table a "face" - what do you think?
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| - '''xenwolf''' January 31, 2012, 12:25:29 AM UTC-0800
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| I don't care either way.
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| - '''keenanpepper''' January 31, 2012, 01:23:24 AM UTC-0800
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| == Intervals shown are too complex ==
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| For example, why is 77 steps given as 67108864/61509375 in the 11 limit, rather than 12/11?
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| - '''keenanpepper''' January 30, 2012, 01:03:33 AM UTC-0800
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| My pocket calculated results are that from 77\612,
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| <ul><li>the complex interval differs by 7.342 ct612</li><li>the simple interval has a distance of 17,51 ct612</li></ul>(ct612 is the relative cent of 612edo == 1\61200 == pow(2, 1/61200))
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| ...of course, in 612edo, the 12/11 ratio is approximated best by 77\612.
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| - '''xenwolf''' January 30, 2012, 01:48:57 AM UTC-0800
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| Yeah, I know the 612 table is not very good, but I never got around to fixing the reduction routine and thereby fixing the table.
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| - '''genewardsmith''' January 30, 2012, 09:59:30 AM UTC-0800
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| 489 of the 612 11-limit intervals appear in the third-order 11-limit diamond: that is, in diamond(diamond(diamond([1,3,5,7,9,11]))). I'm computing the fourth-order diamond now. This might serve as a basis for a better table.
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| - '''genewardsmith''' January 30, 2012, 11:11:54 AM UTC-0800
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| Computing the fourth-order diamond was taking too long. The product of the diamond with the third order diamond gives 609 intervals, which should suffice for starters. The five-limit fourth order diamond was easy to compute, and that gives 608 intervals. So I think I can get this done in this manner.
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| - '''genewardsmith''' January 30, 2012, 12:17:49 PM UTC-0800
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| Looking much better!
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| - '''keenanpepper''' January 30, 2012, 07:51:38 PM UTC-0800
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| Looking much better!
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| - '''keenanpepper''' January 30, 2012, 07:51:39 PM UTC-0800
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| What about adding distances or (some kind of) degree of accuracy?
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| - '''xenwolf''' January 31, 2012, 12:16:20 AM UTC-0800
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