Another correction. I wrote: "the consequences of mistaking a wavy flag for a straight one are not very serious musically (about 15 cents), while mistaking a...
Some suggestions for a term that means a diesis larger than a half-apotome. biesis (contraction of "big diesis") diesoma (ending somewhat like "comma", ...
Now that we have all those single ASCII characters representing the most common single-shaft sagittals, it suggests we might use that for the keyboard mapping...
... hmm . . . i think we've been over this before, but for any schismina, no matter how tiny, there'll be some excellent temperament where it doesn't vanish....
... wrote: Dave, I won't be able to reply to everything now, but I will address the comma-classification terminology that you proposed, and something about the...
carl, here's an old message where i explained the error heuristic: http://groups.yahoo.com/group/tuning-math/message/1437 and you can see that gene, in his...
... Great, thanks! I hadn't seen this, as "heuristic" doesn't appear in it. ... I do see that... you were already using the term for the complexity heuristic...
... No, and the spreadsheet sorted by d is also sorted by n. And in that case it would have been easier to go straight to log(n*d). ... It's the first order...
... So it could just as well be (n-d)/(d*log(n))? ... Straight to where (do you see log(n*d))? ... // ... Oh, (n/d)-1, not n/(d-1). ... The Mercator series??...
... This is approximately log(n/d)/log(n) The order will be reversed. If you can calculate it, see if it holds the ordering. With numerators it's easy as...
... (And by the way, I thought that ... Any name for 100/99 should be part of a pair with 99/98. This is a problem with "small unidecimal comma" for 99/98; if...
... Since the term schismina is not required in the _use_ of sagittal, but only in describing the theory behind it, I don't think it matters much whether ...
... No. I believe it doesn't matter. Take 2400:2401 (the 5^2:7^4 schismina) which, when untempered is only 0.72 cents and so cannot itself be notated in...
... I see your and Dave's notation as a complementary approach to the Scala notation. You are using lots of symbols and achieve a very accurate representation....
... Then we have a pair now, Ptolemy's comma and small undecimal comma. 100/99 could also be called "2nd small undecimal comma" but George's idea is better. ...
... Of course... so we're coming from log(n*d), not going to it. ... Ok, but I still don't get how the "Mercator series" shown in (8) dictates the rules for...
... Oh, I thought you had followed that. It's usually called the Taylor series. I don't know what Mercator's got to do with it. But anyway it's ln(1+x) = x -...
... no, gene introduced the word "heuristic". ... no. ... yes. i prefer log(odd limit) over either log(n) or log(d). ... standard taylor series approximation...
... a very different sorting. that would be heuristic error, not heuristic complexity. of course it's a very different sorting, since knowing log(n) or log(d)...
... but only ... whether ... schisma is ... paper and ... used ... vanishes in ... Okay, I just wanted you to clarify this so that we would both be using the...
... these cutoffs are totally arbitrary and need not even be based strictly on JI cents considerations. but you guys may be interested in studying the...
... In your original message, you *start from* "is proportional to log(n) + log(d)" and *arrive at* "Hence the amount of tempering implied by the unison vector...
... On the mathworld page, it says "the Mercator series gives a Taylor series for the natural logarithm", and in fact makes it look like the Taylor series is...
... Thanks. Those were very useful. In case anyone is wondering, the usage I gave, that is referred to on Monz's page above, was that of Scala's intnam.par...
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