... certainly ... I don't see why; I think you need more verbiage to sort it out. You can't just say "best" like Mark Rankin does; you need to say for each ...
... Ah, I see the problem. I imagined that anyone reading would assume "n-limit error" meant "error in approximating an n-limit interval", not "error in...
Hi.
I have a question on intervals [i] with a specific property: a chain of
[i] should yield combination tones (in the form f2-f1, or even 2*f1-f2
and/or...
* * * * * * * * * * * * * * * * * FUN HEXACHORD FACTS: Of the 50 hexachord Tn/TnI types 4 can be found using only white keys 25 can be found using 1 black and...
... Reducing down to 26, (Reducing for the "M5" relation), gives 4 sets based on six white keys, 18 sets based on 5 white keys and one black and 4 sets based...
... Reducing to 26 (reducing for the "M5" relation, so that B1 and B5 are represented by B5 only) you get: Zero black: 4 One black: 18 Two black: 4 The four...
I took all 13-limit odd integers up to 99, and then all four-note chords derivable from them. I then checked for the ones which were outonal, or asses, and for...
... A chord is "outonal" if it is an inversely symmetrical chord in rational intonation. Inversely symmetrical means an octave-equivalent chord which, on...
Hi all, I happened to noticed something peculiar about the partch diamond: If you sort the pitches in ascending order, each interval between two neighbouring...
... Aha, there you go :). I'd be really surprised if nobody else had observed it before me... ... I use C, C++, Common Lisp and Haskell for most programming I...
... If you ... Given that the elements of the n-odd-limit diamond belong to the nth row of the Farey sequence, not that surprising. You can find the n tonality...
Here are sums of the interval vector values for different sets of hexachords: 80 total hexachords: [216,218,216,222,216,112] 50 Tn/TnI type of hexachords...
... This can be derived using Polya's methods to consider modes of limited transposition, symmetry and complementability. (Or just add up existing interval...
An integral domain is a commutative ring without zero divisors, but you don't need to know what that means; just language I might use. The classic example is...
... How could transposing introduce irrational numbers into any rational scale? (Example?) ... The fact that it is guaranteed to produce rationals doesn't...
... It can't, but it can make dyadic rationals not dyadic. Here's Dwarf(<7 11 16|): 9/8-5/4-45/32-3/2-27/16-2 Everything in the scale, in any octave, is a...
Manuel, can I convince you to put an "n_" in front of all .scl files in the Scala archive, where n is the number of notes in the scale, padded with leading...
... In my dreams it would be... n_author-name-index.scl Where... n Number of notes in file, as zero-padded integer 0 < n < 99999. author Name of discoverer, 16...
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