... The progression is rather spectacular, isn't it? I could reliably differentiate between pitches 1.95Hz apart on my first run through (and somewhere around...
... Hello, all, and first let me thank everyone for all the replies! And yes, I'm obviously talking about tunings not temperaments. So if we can define a...
... I don't see the issue - the interval consisting of a 7/6 subminor third and a 15/14 diatonic semitone would be 7/6*15/14 = 5/4. What's the problem?...
... Hello, and there's no issue as long as the division of the 5/4 JI major third is acceptable this way. It does adhere to an(n+1)/n division (n being a...
... You forget that we call it a "subminor third" just because its closest 5-limit match is the 6/5 "minor third." You could just as well call 7/6 a "septimal...
... for the 7-limit minor second is 28/27 and nothing else? Hello, and I never said it was. I used "e.g." (for example) not "i.e."(that is). But we have to...
I still have no idea what Rick is talking about. Yes, any irrational number can be well approximated by a sequence of rational numbers, and I suppose vice...
I think that Rick is saying that we view 3 steps of 12-tet as being an out of tune 6/5, but maybe we actually perceive it as a relatively in-tune 19/16....
... Ain't no t-t-s-t-t-s in JI. You have to have to different sizes of tones. Replace 5/4 with 9/7 and the pattern's the same giving 28:27 as the diatonic...
... You're absolutely right, and in a perfect world, things would be so. But in reality, I'm not sure we're really ready to use a black key as the tonic. Ciao,...
... Hmm. That could be difficult. I pretended I had no inside information and tried googling it myself. I found it linked from the excellent Wikipedia...
Thanks Mike. That's exactly the type of thing I'm bringing into question. Just to add to what you already said so clearly, mathematically speaking there seems...
... Mathematically speaking, there does not seem to be, there IS an infinite amount of rational numbers, which not only in principle approximate the tempered...
It might be easier to think in terms of L-L-s-L-L-L-s for a diatonic ionian scale. This enables you to escape;-) from 12edo mentality. L=Large s=small. see...
... It doesn't matter what you call them or whether you have a hexachord or the full octave. You can't get JI to work with only two step sizes. Graham...
... and ... number of ... relative ... the ... was ... consonance ... the ... commas ... 2Do ... is ... tone ... these ... progression ... cyclically ... set ...
... and ... number of ... relative ... the ... was ... consonance ... the ... commas ... 2Do ... is ... tone ... these ... progression ... cyclically ... set ...
... what ... THE PIAGUI MUSICAL SCALE IV.1 THE K AND P SEMITONE FACTORS An inspection of the cells of the first segment of the progression shows that part of...
i thought you played harpsichord? (with the mirror colored keyboards) /^_,',',',_ //^ /Kraig Grady_ ^_,',',',_ Mesotonal Music from: _'''''''_ ^North/Western...
why settle for one whole tone when you can have two. Pythagorean works though /^_,',',',_ //^ /Kraig Grady_ ^_,',',',_ Mesotonal Music from: _'''''''_...
Hi Tom, Thanks for your responses. I would be more than happy to send some papers along but I need your email address in order to attach (and I'm still finding...
Graham: I think he means that having G-A# be a septimal subminor third somehow disqualifies it as a tone. He's saying that for the major scale, you have...
... I would like to include these in the xenharmonic wiki! There is just one thing I have noticed - maybe this should be discussed: repeatedly links to you...
... I don't know what he means and as he isn't generally clear about what kind of "diatonic" he's talking about I don't like to second guess him. But I least...
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