What happens when this passage is repeated in just intonation?



Asked by: Michael White

How does just intonation work?





just intonation, in music, system of tuning in which the correct size of all the intervals of the scale is calculated by different additions and subtractions of pure natural thirds and fifths (the intervals that occur between the fourth and fifth, and second and third tones, respectively, of the natural harmonic series

Why does just intonation sound better?

Our brains tell us that the first interval is more consonant, simply because it requires less effort to process than the second one. Of course, in the real world, things are rarely absolutely perfect and two tones in the ratio of 40001:50001 will be heard as “near enough” to 4:5.

Who created just intonation?

Harry Partch was the first such composer. He defined his own scale with 43 pitches to the octave, and invented his own instruments to play it.

Is just intonation Pythagorean?

Pythagorean tuning is a type of just intonation. You don’t quite get simple ratios by stacking P5, but what you get is also decent -> major/minor thirds and sixths are a schisma away from simple ratios, so you get a few good intervals in a 12 notes gamut.

What is the problem with just intonation?





An ideal system (for Western people) would be based on the natural harmonic series, because we love how harmonics sound. This kind of tuning system is called just intonation. It sounds lovely! Unfortunately, just intonation makes it impossible to change keys or tune your guitar.

Is just intonation the harmonic series?

It states that just intonation is a method of tuning based on the intervals of the harmonic series. In the West, some of the oldest extant sources that give detailed accounts of rational or integer number ratios in music are the Division of the Canon by Euclid (fl.

How many notes are in just intonation?

To produce a twelve-tone scale, one of them is arbitrarily discarded. The twelve remaining notes are repeated by increasing or decreasing their frequencies by a power of 2 (the size of one or more octaves) to build scales with multiple octaves (such as the keyboard of a piano).

How does just intonation differ from equal temperament?

Just intonation requires tuning your instrument for a specific key. With standard equal temperament, you can play further down the neck in another key and not end up with different sound quality intervals between notes.

What instruments use just intonation?

The modern un-fretted bowed string instruments; the violin, viola, cello and bass, can and do play in just intonation and can modulate to any key center and maintain just intonation. Modern brass instruments without valves, such as the bugle, play in just intonation in one key only.



What is 5 limit just intonation?

Five-limit tuning
The 5-limit consists of all just intonation intervals whose numerators and denominators are both products of the primes 2, 3, and 5; these are sometimes called regular numbers. Some examples of 5-limit intervals are 5/4, 6/5, 10/9 and 81/80.

Is Pythagorean tuning the same as just intonation?

Pythagorean tuning provides uniformity but not the chords. Just tuning, based on the simpler ratios of the overtone series, provides the chords but suffers from inequality of intervals. Meantone tuning provides equal intervals but gives rise to several objectionable chords, even in simple music.