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  2. Just intonation - Wikipedia

    en.wikipedia.org/wiki/Just_intonation

    On her 1987 lecture album Secrets of Synthesis there are audible examples of the difference in sound between equal temperament and just intonation. Many singers (especially barbershop quartets) and fretless instrument players naturally aim for a more just intonation when playing: "Don't be scared if your intonation differs from that of the piano.

  3. Musical temperament - Wikipedia

    en.wikipedia.org/wiki/Musical_temperament

    In just intonation, every interval between two pitches corresponds to a whole number ratio between their frequencies, allowing intervals varying from the highest consonance to highly dissonant. For instance, 660 Hz / 440 Hz (a ratio of 3:2) constitutes a fifth, and 880 Hz / 440 Hz (2:1) an octave.

  4. Equal temperament - Wikipedia

    en.wikipedia.org/wiki/Equal_temperament

    12 tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.

  5. 12 equal temperament - Wikipedia

    en.wikipedia.org/wiki/12_equal_temperament

    12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).

  6. Meantone temperament - Wikipedia

    en.wikipedia.org/wiki/Meantone_temperament

    For example, in 19 ET, E ♯ and F ♭ are the same pitch; and in just intonation for C major, C ♯ D are within 8.1 ¢, and so can be tempered to be identical. Many musical instruments are capable of very fine distinctions of pitch, such as the human voice, the trombone, unfretted strings such as the violin, and lutes with tied frets.

  7. List of pitch intervals - Wikipedia

    en.wikipedia.org/wiki/List_of_pitch_intervals

    Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others.For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to ...

  8. 19 equal temperament - Wikipedia

    en.wikipedia.org/wiki/19_equal_temperament

    Just intonation intervals approximated in 19 EDO. 19-EDO can be represented with the traditional letter names and system of sharps and flats simply by treating flats and sharps as distinct notes, as usual in standard musical practice; however, in 19-EDO the distinction is a real pitch difference, rather than a notational fiction.

  9. Neutral interval - Wikipedia

    en.wikipedia.org/wiki/Neutral_interval

    The just undecimal neutral seventh has a ratio of 11:6 between the frequencies of the two tones, [3] or about 1049 cents play ⓘ. Alternately, 13:7 [3] or about 1071.7 cents play ⓘ. A tridecimal neutral seventh play ⓘ has a ratio of 24:13 between the frequencies of the two tones, or about 1061 cents.