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Augmented chord in the chromatic circle Play ⓘ A one-third octave is a logarithmic unit of frequency ratio equal to either one third of an octave (1200/3 = 400 cents: major third) or one tenth of a decade (3986.31/10 = 398.631 cents: M3 Play ⓘ). [1] An alternative (unambiguous) term for one tenth of a decade is a decidecade. [2] [3]
An octave band is a frequency band that spans one octave (Play ⓘ).In this context an octave can be a factor of 2 [1] [full citation needed] or a factor of 10 0.301. [2] [full citation needed] [3] [full citation needed] An octave of 1200 cents in musical pitch (a logarithmic unit) corresponds to a frequency ratio of 2 / 1 ≈ 10 0.301.
Alternative variants are easy from this tuning, but because several chords inherently omit the lowest string, it may leave some chords relatively thin or incomplete with the top string missing (the D chord, for instance, must be fretted 5-4-3-2-3 to include F#, the tone a major third above D). Baroque guitar standard tuning – a–D–g–b–e
Jazz guitarist Carl Kress used a variation of all-fifths tuning—with the bottom four strings in fifths, and the top two strings in thirds, resulting in B ♭ 1 –F 2 –C 3 –G 3 –B 3 –D 4. This facilitated tenor banjo chord shapes on the bottom four strings and plectrum banjo chord shapes on the top four strings.
To build chords, Fripp uses "perfect intervals in fourths, fifths and octaves", so avoiding minor thirds and especially major thirds, [26] which are sharp in equal temperament tuning (in comparison to thirds in just intonation). It is a challenge to adapt conventional guitar-chords to new standard tuning, which is based on all-fifths tuning. [27]
An octave is the interval between one musical pitch and another with double or half its frequency. For example, if one note has a frequency of 440 Hz, the note one octave above is at 880 Hz, and the note one octave below is at 220 Hz. The ratio of frequencies of two notes an octave apart is therefore 2:1.
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In stretched tuning, two notes an octave apart, whose fundamental frequencies theoretically have an exact 2:1 ratio, are tuned slightly farther apart (a stretched octave). If the frequency ratios of octaves are greater than a factor of 2, the tuning is stretched; if smaller than a factor of 2, it is compressed." [3]
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