Comprehensive Scales, Chords and Arpeggio study bookFull description
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armonia su densità intervalliFull description
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Shaku Scales and Intervals
http://www.navaching.com/shaku/scale.html
Updated 1/17/11
The shakuhachi plays the pentatonic scale--right? But that's the Minor Pentatonic scale--there's scale--there's another one. Anyway, Anyway, if you're you'r e tired of pounding out the same notes and/or are curious about other five note scales you've come to the right place. To make it simple (and understandable to non-musicians non-musicians like us) let's think of scales in terms of the intervals between notes. In the key of D, the minor pentatonic is DFGACD'. Since there are 12 notes in an octave, the minor pentatonic goes from D to F (three notes), F to G (two notes), G to A (two notes), A to C (three notes) and C to D' (two notes). So we can write the minor pentatonic in terms of the 'intervals' between the notes--32232. Once we have this 'interval' notation we can make up all kinds of scales. Another useful feature is that the notation is independent of key--just start in any key and it all fits. For what we're doing with this adventure there are only two rules: Five notes and the interval string must add up to twelve (one octave). That's it! Be the first one on your block to create your own scale, name it, build it into a flute and then play the music of the spheres. It should be as rewarding to have flutes of different scales as to have them in different keys. It seems cruel to restrict shakuhachi to a single scale. There's something else we can do with this scale business. We can make flutes tuned to different keys and play them together--kind together--kind of. And we'd do this by making them in different scales. We've got the standard D flute Minor Pentatonic (32232) and if we made a C flute with a scale of 23223 they would play the same notes except for the C's Ro and the D's Ri--the rest would match up. Or a B flute in the scale of 33222 would match a D 32232 except for Ro and Ri. Get the picture? Flute duets of different keys alignment--strangeness and scales--the sound of three hands clapping. Cross-scale alignment--strangeness abounds!
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Shaku Scales and Intervals
http://www.navaching.com/shaku/scale.html
Tonehole Placement for Various Scales For 3/4" Schedule 80 PVC--27/64"(10.7mm) holes Employ the fractions for other lengths. Scale
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Interval Key
Length Thumb Fourth Third Second mm Hole Hole Hole Hole
First Hole
Minor Pentatonic
32232
D
533
230 0.4315
263 324 369 420 0.4934 0.6079 0.6923 0.7880
Earth
23223
C
598
259 0.4331
319 365 0.5334 0.6104
Fire
33222
B
634
277 0.4369
318 363 413 503 0.5016 0.5726 0.6514 0.7934
Cloud
22233
Eb
503
215 0.4274
264 325 371 425 0.5249 0.6461 0.7376 0.8449
Major Pentatonic
22323
F
448
189 0.4219
235 268 329 377 0.5246 0.5982 0.7344 0.8415
Wind
32322
D
533
230 0.4315
264 301 369 420 0.4953 0.5647 0.6923 0.7880
Water
23232
C#
565
245 0.4336
280 344 391 479 0.4956 0.6088 0.6920 0.8478
415 0.694
508 0.8495
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Shaku Scales and Intervals
http://www.navaching.com/shaku/scale.html
The Earth, Fire, Cloud and Major Pentatonic scales will all play with the Minor Pentatonic and are configured in the table to do so. All the scales are perfectly respectable by themselves and play very well alone. They can be made into an assortment of flutes by combining any key length with any scale fractions above. The six key lengths and seven scales will produce 42 different flutes --plenty for an interesting flute exploration. Visit the Synthesis page to learn how to make PVC flutes--it's not rocket science. The scale we're calling Earth appears to be used by one of the oldest flutes ever found. Want to hear what they were playing 50,000 years ago? Now you can. The Blues scale is just the Minor Pentatonic with an extra note stuck in--321132. You can get that extra note by cross-fingering--third hole open with first and second closed. Using Interval Notation it's simple to make up any scale you want and with the five note system they all sound surprisingly good! With a modicum of programming skill each of these scales (or any others) can be programmed to play randomly--note, duration and time between notes. Random shakuhachi is in some ways more satisfying than written music--it flows in ways that reminds one of bubbling brooks and that kind of thing. There's something about five note scales that guarantees fundamental coherence, so you can't hit a 'bad' note--it all fits. When the notion of random flute music is broached many players grimace. However, it's ideal for those interested in the 'spiritual' aspects of shakuhachi. Random flute is music without agenda, without authorship or intention. There's no beginning and no end. One exercise for those interested in the Path of the Spirit is to generate random music and play it. Generate randomly by computer or with a single die. Cast a die (ignoring sixes) to determine the note. Cast again for duration and yet again for pause until next note. Write down these three parameters as the instructions for playing a single note. Repeat the process for as many notes as you want. Then play the composition. Want more parameters? Just add them. Fewer? And so on. The point of learning to play randomly is to free oneself from presuppositions of melody and technique, etc. The goal is to play until random notes sound melodious--and they will. Along the way one develops vastly increased attentional skills as one can't think ahead because there's no melodic structure through which to anticipate coming notes. It's all NOW and THIS note. There's no point in memorizing the music as the truly random can't be memorized. The whole point of this 'spiritual' exercise is to eliminate content and concentrate totally on process--the playing of the notes. It's surprising to many that random music has any melodic properties at all, but with Five Note Scales it does. You just have to play it to hear it. A little reflection is enough to realize all songs come from random music. Songs are just the conscious selection of specific random notes from the Random River. So what we're proposing is that one learn to play the source itself--learn to play the
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Shaku Scales and Intervals
http://www.navaching.com/shaku/scale.html
Random River. This is the first song, the last song, the only song--everything we call 'music' is just a subset of this primal, beginingless, endless, constantly shifting stream of sound. This stream is the stream of possibility and it contains all.
