I've been making Scala files for some of these, and fairly often I've found a match with a known scale. This is excellent, as it is evidence that dwarves are...
... Thanks for this; I think it's about time for me to burn another music to meditate by album and put this on it. It makes me wonder what I could do with FTS...
Dwarf(<22 35 51|) and dwarf(<22 35 51 62|) are interesting for the fact that marvel tempers them to the same scale. It would be nice to see a lattice diagram...
Hi Gene, Yes, I dip in from time to time and see what is happening here. I've done a longer clip now, also fixed a chord which was a bit crunchy - it wasn't...
Dwarf(<6 9 14|) is in the Scala directory twice, once since it is a genus (genus(75)) and once as cluster6b, about which the description line says "Six-Tone...
I've found another already known dwarf--this is another Erv Wilson scale, wilson_17, which is dwarf(<17 27 39|), the standard val 5-limit 17-note dwarf....
Following Mclain, we have a definition of yantra_p(n) in terms of all the p-limit integers less than or equal to n. Following Euler, we have a definition of...
Here is a new version of that piece, with some more tweaks and rendered to audio: http://www.robertinventor.com/microtonal_sea_scape_piano_romance.mp3 [1.5 MB]...
i've asked this kind of question here before, but have never been totally clear on the answer ... (click on "reply" on the Yahoo interface to see the matrices...
... You have three vals, v1 = <12 19 28|, v2 = <0 -1 -4| and v3 = <0 3 0|. Because they were obtained from the adjoint matrix of the monzos for [2, 128/125,...
... i think there's a typo there ... don't you mean v2(81/80)=0? anyway, i'm not clear on how you got that. if v2 = <0 -1 -4|, where do v2(128/125)=12 and...
... It's a typo--v2(2)=0, v2(128/125)=12, v2(81/80)=0. ... You can check it is true, but it follows from the fact that the adjoint matrix is twelve times the...
Hi there, I've just added a Sagittal type chord notation to FTS for the next release. Here is how it works - I thought I'd use a simplified Saggital here where...
... Yes, or degrees of a 12 note well temperament, or a 12 note meantone MOS. ... Yes. ... Nothing in particular. Perhaps it will be clearer later on. ... I'm...
A marvelous dwarf is my name for a scale with the following attributes: (1) It is a marvel tempering of a 5-limit dwarf. (2) It has the same number n of otonal...
It occurred to me that all of the notes of a comma pump, tempered by the comma in question, could make an interesting scale. I found ten scales, each of twelve...
hi Graham, ... yes, thanks for pointing that out to me. i can see it. ... that had me stumped for a moment. it would be clearer this way: [log(2)] 1 [12...
I've uploaded two graphs to the dwarf directory in the files section. Dwarf15_7_1 shows the tetrads of dwarf15 linked if they have a common note. It does not...
I checked for comma pumps of minimal length for 2401/2400, consisting of tetrads and such that each tetrad shares an interval with ajoining ones in the chord...
Below is a list of 7-limit commas, followed by an integer. The integer denotes the corresponding 7=limit standard val, and is distinguished as coming the...
If |a b c> is a 5-limit monzo, we may define a quadratic form on note-classes by ell(|a b c>) = 4b^2 - 7bc + 4c^2. The discriminant of this is (-7)^2 - 4*4*4 =...
... I don't know the reason for it, but it is clear there is one. I looked at using 2401/2400 with {5,7} note classes, and 3 represented by 2401/800. Trying to...
... addition ... Hi Robert. Since you asked for comments, here goes. I don't think it's a good idea to have two systems of character shorthand, but I have...
Having problems with message search?
Fill out this form to ensure your group is one of the first to be migrated to the new message search system.
