Sequence of Five 3 quarter tones in persian music is a perfect 5th! 3/4 tone = 140 cents

A musical octave is 6 chromatic whole tones, each whole tone is 200 cents. A perfect fifth (the interval between C and G) is 701 cents. Since a Persian 3/4 tone interval is 140 cents, a sequence of five 3/4 tones provides a perfect 5th. Interestingly, a minor third ( interval between c to E flat) in Persian music is flatter than a diatonic or chromatic minor third and is about 280 cents which happens to be double the 3/4 tone of 140 cents).

Octave= 12 half tones
Chromatic half tone = 100 cents
Pefect fifth interval (Do -Sol) = 701 cents
Persian PARDEH or whole tone= 220 cents
Persian 3/4 tone = 140 cents = 701 cents / 5
Persian minor third (1.5 PARDEH) is 280= 2x140 cents!

In ratios: a 3/4 tone interval is a pitch or string ratio of 13/12 and five times that in ratios means (13/12) to the 5th power which is a 3/2 ratio.

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• temperament

[RSwordIAAA]

(cont) which is cool, but there are a large number of "new" diatonic scales- to replace the diatonic scale like Myna, and Orwell, and Mavila (anti-diatonic/inside out diatonic) for example... So remember that you can use these old intervals for new music also - new diatonic scales etc

[goodcyrus]

@RSwordIAAA Watch my video watch?v=Cu9MOPi8q6g

I write experimental music and would love to be dazzled by good examples of Xenharmonic music but I am yet to be impressed by it. Theories are great but they need to produce great results to get attention. The use of the term "harmonic" in most equal temperament music is a misnomer to me even if you think of harmonics in 3d objects. Just my opinion.

[RSwordIAAA]

You can play 3/4 tones on 16-equal divisions of the octave (instead of 12) which also add to the fifth....in 17-equal (called the arabic temperament by halmholtz) you can play 1/3 tones but the neutral thirds add up to the fifth......there are a few other temperaments that can do this also with a small number of manageable tones. another great aspect of 16-equal is approximation to 7/4 and 11/6... It seems to me alot of people get into microtonality for the traditional scales

[goodcyrus]

@RSwordIAAA If you watch this video carefully, you notice what is called 3/4 tone in this style of music is actually 140 cents which you can get in 17-equal temperament.

[troglodyto]

whic of these tones is not found in western typical 12-tone music? or are they all found on the piano keyboard?

[akamarutv]

I understand it helps to know about tuning ratios and math but am I the only one who goes about microtonal without math and tuning numbers and learns by ear alone.

[akamarutv]

Awesome, this really helps me learn to play quarter tones on my guitar but I have to bend the notes so it's difficult to learn but I love the sound of 3/4 tones!

[RSwordIAAA]

@RSwordIAAA Add to list Lou Harrison, Morton Feldman, Tristin Murrail, Gerard Grisey, George Crumb, etc

[goodcyrus]

@RSwordIAAA Uhhhh ... Whole tone is 200 cents sir. Half tone is 100. persians have called this particular interval 3/4 tone and that name is stuck. But it is 140 cents really.

[RSwordIAAA]

@goodcyrus So what im getting at is if you use microtones to only ornament 5-limit harmony and don't explore higher harmonics in the overtone series you're not getting the most you can in the microtonal realm. Paul erlichs paper "A middle Path between Just Intonation and Equal Temperament" lays it out. You can find it easy online. It's probably one of the most important music papers of our time. just remember *all* ET's approximate different intervals in the harmonic series - some more complex

[RSwordIAAA]

@goodcyrus You should maybe then check out greats like Giacinto Scelsi, Alois Haba, Ivan Wyschnegradsky, Ben Johnston, Ervin Wilson, Kraig Grady, Harry Partch, etc. Composers of new music like Bohlen Pierce non octave scale would be like George Hajdu, whos compositions are beautiful and dazzling to say the least. Its there you just have to look for it. If you think equal temperament doesnt approximate harmonics- tell that to Wagner and many many others.. Maybe Read Paul Erlichs papers-

[RSwordIAAA]

@Sensenwerk then maybe you would like to check out the tuning list, math tuning and microtonal theory forums on yahoo - which have been going for a decade strong with some of the worlds most esteemed theorists. another cool place is xenharmonic wikispaces which is an excellent resource for learning microtonal theory