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  2. Circle of fifths - Wikipedia

    en.wikipedia.org/wiki/Circle_of_fifths

    In music theory, the circle of fifths (sometimes also cycle of fifths) is a way of organizing pitches as a sequence of perfect fifths. Starting on a C, and using the standard system of tuning for Western music (12-tone equal temperament), the sequence is: C, G, D, A, E, B, F ♯ /G ♭, C ♯ /D ♭, G ♯ /A ♭, D ♯ /E ♭, A ♯ /B ♭, F ...

  3. Chromatic circle - Wikipedia

    en.wikipedia.org/wiki/Chromatic_circle

    The circle of fifths in 12-tone equal temperament drawn within the chromatic circle as a star dodecagon [1] For any positive integer N, one can represent all of the equal-tempered pitch classes of N-tone equal temperament by the cyclic group of order N, or equivalently, the residue classes modulo twelve, Z/NZ.

  4. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    Twelve-tone equal temperament (12 TET) is obtained by making all semitones the same size, with each equal to one-twelfth of an octave; i.e. with ratios 12 √ 2 : 1. Relative to Pythagorean tuning , it narrows the perfect fifths by about 2 cents or ⁠ 1 / 12 ⁠ th of a Pythagorean comma to give a frequency ratio of 2 7 / 12 : 1 {\displaystyle ...

  5. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    This phenomenon gives rise to infinite shades of key-colors, which are lost in the modern standard version: 12-tone equal temperament (12-TET). Unlike meantone temperament, which alters the fifth to "temper out" the syntonic comma, 12-TET tempers out the Pythagorean comma, thus creating a cycle of fifths that repeats itself exactly after 12 steps.

  6. Pythagorean tuning - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tuning

    12-tone Pythagorean temperament is based on a sequence of perfect fifths, each tuned in the ratio 3:2, the next simplest ratio after 2:1 (the octave). Starting from D for example (D-based tuning), six other notes are produced by moving six times a ratio 3:2 up, and the remaining ones by moving the same ratio down:

  7. Regular temperament - Wikipedia

    en.wikipedia.org/wiki/Regular_temperament

    If the generators are all the prime numbers up to a given prime p, we have what is called p-limit just intonation.Sometimes some irrational number close to one of these primes is substituted (an example of tempering) to favour other primes, as in twelve tone equal temperament where 3 is tempered to 2 19 ⁄ 12 to favour 2, or in quarter-comma meantone where 3 is tempered to 2 4 √ 5 to favor ...

  8. Ohio State upends College Football Playoff in stunning Rose ...

    www.aol.com/news/ohio-state-upends-college...

    This time, Ohio State left no doubt. The No. 8 seed Buckeyes (12-2), with their 32-31 October loss to No. 1 seed Oregon (13-1) lingering in the back of their minds, rose to the occasion and ...

  9. Piano key frequencies - Wikipedia

    en.wikipedia.org/wiki/Piano_key_frequencies

    This is a list of the fundamental frequencies in hertz (cycles per second) of the keys of a modern 88-key standard or 108-key extended piano in twelve-tone equal temperament, with the 49th key, the fifth A (called A 4), tuned to 440 Hz (referred to as A440). [1] [2] Every octave is made of twelve steps called semitones.

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