منابع مشابه
Finding Alternative Musical Scales
We search for alternative musical scales that share the main advantages of classical scales: pitch frequencies that bear simple ratios to each other, and multiple keys based on an underlying chromatic scale with tempered tuning. We conduct the search by formulating a constraint satisfaction problem that is well suited for solution by constraint programming. We find that certain 11-note scales o...
متن کاملSpecifying spectra for musical scales
The sensory consonance and dissonance of musical intervals is dependent on the spectrum of the tones. The dissonance curve gives a measure of this perception over a range of intervals, and a musical scale is said to be related to a sound with a given spectrum if minima of the dissonance curve occur at the scale steps. While it is straightforward to calculate the dissonance curve for a given sou...
متن کاملNoting the Difference: Musical Scales and Permutations
A. (1937) 355–357. 9. S. Kakutani, On Nakano’s talk, Zenokuku Sugaku Danwakai Osaka 192 (1940) 42–44 (Japanese). 10. N. Nakano, On a theorem in Hilbert space, Zenokuku Sugaku Danwakai Osaka 192 (1940) 39–42 (Japanese). 11. , Spectral Theory in the Hilbert Space, Japan Society for the Promotion of Science, Tokyo, 1953. 12. K. T. Smith, D. C. Solmon, and S. L. Wagner, Practical and mathematical a...
متن کاملA Biological Rationale for Musical Scales
Scales are collections of tones that divide octaves into specific intervals used to create music. Since humans can distinguish about 240 different pitches over an octave in the mid-range of hearing, in principle a very large number of tone combinations could have been used for this purpose. Nonetheless, compositions in Western classical, folk and popular music as well as in many other musical t...
متن کاملTwo-channel listening to musical scales.
Ss listened to a dichotic tonal sequence consisting of the repetitive presentation of the C major scale with successive tones alternating from ear to ear. The scale was presented simultaneously in both ascending and descending form, such that when a component of the ascending scale was in one ear, a component of the descending scale was in the other, and vice versa. All Ss channeled this sequen...
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ژورنال
عنوان ژورنال: The Musical Times and Singing Class Circular
سال: 1886
ISSN: 0958-8434
DOI: 10.2307/3363902