• Thumbnail for 7-limit tuning
    Theory. Cambridge: Cambridge University Press. ISBN 0521616972. Centaur a 7 limit tuning shows Centaur tuning plus other related 7 tone tunings by others...
    7 KB (584 words) - 19:39, 5 December 2023
  • Thumbnail for Five-limit tuning
    Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument...
    39 KB (4,001 words) - 15:02, 6 May 2025
  • Thumbnail for Limit (music)
    intonation, their harmonic limit may be ambiguous. 3-limit (Pythagorean) tuning Five-limit tuning 7-limit tuning Numerary nexus Otonality and Utonality Tonality...
    10 KB (1,110 words) - 23:40, 1 January 2025
  • Thumbnail for Pythagorean tuning
    Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifths which are...
    26 KB (2,585 words) - 23:55, 14 November 2024
  • Thumbnail for Semitone
    Pythagorean tuning is a broken circle of fifths. This creates two distinct semitones, but because Pythagorean tuning is also a form of 3-limit just intonation...
    36 KB (4,109 words) - 10:04, 2 April 2025
  • Thumbnail for Harmonic seventh
    Harmonic seventh (category 7-limit tuning and intervals)
    Pipe organs were the last fixed-tuning instrument to adopt equal temperament. With the transition of organ tuning from meantone to equal-temperament...
    15 KB (1,536 words) - 13:56, 26 April 2025
  • point for comparison, in three-limit tuning the Pythagorean major third is an 81/64 ratio, which is 407.8 cents. A tuning is a choice of pitches in a scale...
    20 KB (2,387 words) - 09:22, 26 May 2025
  • Thumbnail for Septimal third tone
    Septimal third tone (category 7-limit tuning and intervals)
    interval in its own right, or as a comma; if it is tempered out in a given tuning system, the distinction between these two intervals is lost. The septimal...
    3 KB (377 words) - 20:48, 26 October 2018
  • Thumbnail for Just intonation
    Just intonation (redirect from Just tuning)
    fifth for purposes of music analysis regardless of its tuning method, for purposes of discussing tuning systems musicologists may distinguish between a perfect...
    51 KB (5,564 words) - 23:28, 1 June 2025
  • Septimal semicomma (category 7-limit tuning and intervals)
    thirds of 6/5 plus a septimal minor third of 7/6 and an octave (2/1). This comma is important to certain tuning systems, such as septimal meantone temperament...
    1 KB (207 words) - 05:25, 3 May 2025
  • Thumbnail for Septimal major third
    Septimal major third (category 7-limit tuning and intervals)
    meantone will give four septimal thirds among the twelve major thirds of the tuning; this entails that three septimal major triads appear along with one chord...
    5 KB (503 words) - 15:10, 19 April 2024
  • Thumbnail for Septimal minor third
    Septimal minor third (category 7-limit tuning and intervals)
    narrow 7:6 subminor third...The seventh harmonic...was problematic in all Western tuning systems. The interval it forms with the sixth harmonic [7:6 subminor...
    7 KB (888 words) - 15:09, 19 April 2024
  • Thumbnail for Septimal chromatic semitone
    Septimal chromatic semitone (category 7-limit tuning and intervals)
    v t e Intervals Twelve- semitone (post-Bach Western) Other tuning systems Other intervals List of pitch intervals...
    1 KB (107 words) - 03:51, 9 January 2025
  • Thumbnail for Septimal quarter tone
    Septimal quarter tone (category 7-limit tuning and intervals)
    interval in its own right, or as a comma; if it is tempered out in a given tuning system, the distinction between the two different types of minor thirds...
    3 KB (314 words) - 03:11, 24 July 2021
  • Thumbnail for Septimal comma
    Septimal comma (category 7-limit tuning and intervals)
    extend tuning beyond common-practice, extending music to the 7-limit, including the 7/6 septimal minor third, the 7/5 septimal tritone and the 8/7 septimal...
    4 KB (480 words) - 13:36, 20 August 2021
  • take a specific alternative name in Pythagorean tuning, five-limit tuning, or meantone temperament tuning systems such as quarter-comma meantone. All the...
    78 KB (8,710 words) - 17:58, 26 May 2025
  • He also describes 7-limit "soft" diatonics and an 11-limit "even" diatonic. This tuning was declared by Zarlino to be the only tuning that could be reasonably...
    10 KB (654 words) - 12:30, 4 April 2025
  • Thumbnail for Septimal kleisma
    Septimal kleisma (category 7-limit tuning and intervals)
    interval of approximately 7.7 cents. Factoring it into primes gives 2−5 32 52 7−1, which can be rewritten 2−1 (5/4)2 (9/7). That says that it is the...
    1 KB (118 words) - 06:34, 2 May 2025
  • Thumbnail for Septimal diesis
    Septimal diesis (category 7-limit tuning and intervals)
    tempered out by a number of equally tempered tuning systems, including 19-ET, 24-ET and 29-ET; these tunings do not distinguish between the septimal whole...
    2 KB (205 words) - 03:04, 11 December 2020
  • Thumbnail for Septimal diatonic semitone
    Septimal diatonic semitone (category 7-limit tuning and intervals)
    cents) plus a septimal kleisma (the interval 225:224, or 7.71 cents). Major diatonic semitone (5-limit, 16:15) Minor diatonic semitone (or septendecimal diatonic...
    2 KB (109 words) - 07:21, 9 February 2022
  • Thumbnail for Ragisma
    Ragisma (category 7-limit tuning and intervals)
    In music and tuning, the ragisma is an interval with the ratio of 4375:4374, ≈0.396 cents (a superparticular ratio). It is usually defined as the difference...
    1 KB (97 words) - 07:24, 9 February 2022
  • possible in 5-limit tuning. 7-limit tuning allows for the justest possible ratios (ratios with the smallest numerator and denominator), namely 7:5 for the...
    45 KB (5,288 words) - 08:43, 9 April 2025
  • Thumbnail for Septimal whole tone
    Septimal whole tone (category 7-limit tuning and intervals)
    second play is the musical interval exactly or approximately equal to an 8/7 ratio of frequencies. It is about 231 cents wide in just intonation. 24 equal...
    3 KB (337 words) - 10:12, 28 April 2024
  • Thumbnail for Septimal tritone
    Septimal tritone (category 7-limit tuning and intervals)
    musical interval with ratio 7:5 (582.51 cents). The greater septimal tritone (also Euler's tritone), is an interval with ratio 10:7 (617.49 cents). They are...
    3 KB (346 words) - 00:17, 15 October 2023
  • Thumbnail for Lattice (music)
    In musical tuning, a lattice "is a way of modeling the tuning relationships of a just intonation system. It is an array of points in a periodic multidimensional...
    6 KB (793 words) - 11:50, 12 January 2025
  • Thumbnail for Magic chord
    Magic chord (category 7-limit tuning and intervals)
    F, B♭ (ratios 4:6:7:8:9:12 Play), adding C and E♭ to the magic chord when combined as the magic opening chord (Play). The Well-Tuned Piano is based on...
    6 KB (414 words) - 00:09, 24 December 2024
  • Thumbnail for Breedsma
    Breedsma (category 7-limit tuning and intervals)
    jubilisma). It is about 0.72 cents (Play). 2401/2400 = 128/75 / (8/7)4 2401/2400 = (7/6)4 / 50/27 It is therefore the difference between one kind of classic...
    2 KB (165 words) - 12:19, 7 January 2023
  • Thumbnail for Wolf interval
    with respect to Pythagorean tuning, which can be considered a 3-limit just intonation tuning. Namely, while Pythagorean tuning determines only 2 wolf intervals...
    24 KB (3,124 words) - 15:31, 13 February 2025
  • Thumbnail for List of guitar tunings
    live on a 7-string with a high Eb due to some leads being tracked in a higher tuning. Microtonal tuning The open strings of a guitar can be tuned to microtonal...
    135 KB (18,150 words) - 23:31, 6 June 2025
  • Thumbnail for Semantic system
    Semantic system (category 5-limit tuning and intervals)
    ratios most commonly of 250/243 in 5-limit tuning, or of 36/25 in 7-limit tuning. The 5-limit just intonation schisma (ratio 32 805 / 32 768) is a micro-coincidence...
    36 KB (4,024 words) - 16:41, 20 May 2024