pythagorean scale
1pythagorean scale — noun Usage: usually capitalized P : a musical scale with its intervals regulated by mathematical ratios rather than by consonances * * * Music. the major scale as derived acoustically by Pythagoras from the perfect fifth …
2Pythagorean scale — Music. the major scale as derived acoustically by Pythagoras from the perfect fifth. * * * …
3Non-Pythagorean scale — Comparison of Non Pythagorean pitches (red) to 12 tone equal tempered pitches (blue). Note that, while the equal tempered pitches increase exponentially, the pitches found lower on the Non Pythagorean scale have frequencies that are farther apart …
4Pythagorean comma — (PC) defined in Pythagorean tuning as difference between semitones (A1–m2), or interval between enharmonically equivalent notes (from D♭ to C♯). The di …
5Pythagorean interval — In musical tuning theory, a Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by a power of three, or vice versa. For instance, the perfect fifth with ratio 3/2 (equivalent to 31/21) and the perfect… …
6Scale (string instruments) — For the musical (rather than instrumental) scale, see Pythagorean tuning. In a string instrument, the scale length (often simply called the scale ) is the sounding length of the strings. On instruments with strings which are not stopped (harp,… …
7Pythagorean tuning — is a system of musical tuning in which the frequency relationships of all intervals are based on the ratio 3:2. Its name comes from medieval texts which attribute its discovery to Pythagoras, but its use has been documented as long ago as 3500… …
8Pythagorean hammers — According to legend, Pythagoras discovered the foundations of music by listening to the sounds of four blacksmith s hammers, which produced consonance and dissonance when they were struck simultaneously. Specifically, he noticed that hammer A… …
9Enharmonic scale — An enharmonic scale is a musical scale in which there is no exact equivalence between a sharpened note and the flattened note it is enharmonically related to.As an example, F sharp and G flat are generally equivalent in a chromatic scale, but… …
10Diatonic scale — Qualities Number of pitch classes 7 Maximal evenness Well formed generated collection Myhill s property Deep scale property Cardinality equals variety Struc …
