Phil Taylor wrote: >................ > > The other scale that I can't find any examples for is the pentatonic > Pi-5. I suspect that there aren't any, as that scale involves dropping > the fifth, and it's hard to imagine a tune without a fifth in it. > > Phil Taylor >
Pi-5 is pretty rare. I haven't found many. Here's a very little info. Sources of Irish Traditional Music, #454,"Love is the cause of my mourning" from Stuarts' Music for TTM (Scots). F, 2 sharps (Phrygian) missing C and G. Two others are in early issues of JFSS, #41011 and 41408 in the Combcode.Txt file on my website. The latter is only 4 measures for a nursery song. PS: My commentary on just intonation is really too long to post here. The way I derived it is using ratios of notes to keynote in major mode, and, say, flatten the 7th to get the ratios for mixolydian, or sharpen the 4th for lydian. My results for all scoring modes, and the resultant frequencies are in file JUSTINT.HTM on my website. Note that the frequencies of the naturals differ on some notes from those in C major for each keynote, but don't change with mode (but will, of course, be modified by some sharps or flats when we change mode). Note particulary that in A minor mode this gives D = 293 1/3 instead of D = 297 of C major. With this we add a perfect DFA minor chord, so in minor modes minor chords start on the 1st, 4th, and 5th of the scale, like in major mode where major chords start on 1st, 4th, and 5th of the scale. Bruce Olson -- Roots of Folk: Old British Isles popular and folk songs, tunes, broadside ballads at my website <A href="http://www.erols.com/olsonw";> Click </a> To subscribe/unsubscribe, point your browser to: http://www.tullochgorm.com/lists.html
