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# Just intonation calculator

- Jun 05, 2008 · Using the standard of A4 = 440hz, then C4 is 264hz with just intonation, and 261.626hz with equal temperament. Some composers dislike equal temperament. A concert or pedal harp is an example of a just intonation instrument.
- Scales: Just vs Equal Temperament (and related topics) The "Just Scale" (sometimes referred to as "harmonic tuning" or "Helmholtz's scale") occurs naturally as a result of the overtone series for simple systems such as vibrating strings or air columns.
- The reason they are called meantone scales is because all whole tones are the same size, and in particular, the major third is divided into two equal sized whole tones, rather than the unequal sized 9/8 and 10/9 of just intonation. A pure fifth is 701.955 cents, and the syntonic comma is 21.5063 cents.
- The truth is that in 'just intonation' with pure major thirds D# would be below Eb (the discrepancy is about 35.69 cents), but in what Barbieri calls 'Pythagorean-expressive' intonation it is the other way round: D# lies above Eb (by the Pythagorean comma of 23.46 cents).
- You can also read about the Prime Factor Sagittal Just Intonation notation. Here's a calculator in spreadsheet form for JI Notation. Simply enter your pitch as a prime exponent vector or ratio and find your accidental, whether in mixed or pure, at every precision level, in both ASCII and Unicode, with all possible nominals included.

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© Justonic Tuning Inc. http://www.justonic.com/demos.html (website currently down, use http://web.archive.org/web/20160209025444/http://www.justonic.com/ i...

You can calculate this out or consult the table in Handel, p. 331. If the jnd for fundamental frequency is in the neighborhood of 0.2% under the best of conditions, do you expect this difference to be audible? Where is the greatest discrepancy between intervals based on just intonation and those based on equal temperament? D.

It account for 5-limit just intonation. has been noted that the major and minor diatonic scale This article intends to make a start in ﬁnding general form convex subsets in this space. This triggers the ques- empirical principles for the ‘‘well-formedness’’ of a large tion whether convexity is a more widespread concept in number of ...

I've only dabbled in this area, but I think the ratios you're talking about are going to be for Just Intonation which was in use when western music was either modal or contrapuntal. For about the last 350 years (ish) we've shifted across to nearly always using Equal Temperament.

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- Just intonation= maximize consonance of octaves, perfect fifths, and perfect fourths Pythagorrean= maximize perfect fifths Equal temperament= log-based equal intervalsA variety of such compromise systems have been proposed and used over the centuries, including Pythagorean tuning, meantone intonation, just intonation, and equal temperament. In equal temperament, the ratio between every semitone is exactly the same, so each interval, regardless of the starting note, is also exactly the same.Oceanography lab answer keyBest ps1 emulator mac
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