this paper intends to study attraction theory which it has been published in a book entitled new method of music performance principles. it should note that mentioned book has been selected as the best book in 21 festival for year book in islamic republic of iran. at first some these drawbacks will be considered regarding to scientific rules then we find that the frequency ratio of sounds in th...

In the present research we examined the development of sensitivity to two musical relations significant in Western tonal music, the semitone and diatonic structure. Infants and preschool children were tested for their detection of a semitone change in any position of a five-note melody. Two standard melodies were used, one composed of diatonic tones only and the other containing a non-diatonic ...

Adults (n = 28) and 8-month-old infants (n = 48) listened to repeated transpositions of a 10-note melody exemplifying the rules of Western tonal music. They were tested for their detection of two types of changes to that melody: (a) a 4-semitone change in 1 note that remained within the key and implied dominant harmony (diatonic change) or (b) a 1-semitone change in the same note that went outs...

The present article argues in favor of a discipline of Mathematical Music Theory (see [16], [18] for earlier attempts). By reviewing and re-interpretating known results, we draw further conclusions and formulate working hypotheses. Especially, we recapitulate a known fact about diatonic triads and seventh chords in connection with an analogous fact about pentatonic and diatonic scales in the 12...

This paper examines infants’ ability to perceive various aspects of musical material that are significant in music in general and in Western European music in particular: contour, intervals, exact pitches, diatonic structure, and rhythm. For the most part, infants focus on relational aspects of melodies, synthesizing global representations from local details. They encode the contour of a melody...

This paper presents the spectra of several orchestral instruments measured in the concert hall of the Liceo Statale “Alfano I” in Salerno, Italy. For each musical instrument used the variations of frequency of average signal unweighted (LZeq average) relative to the C diatonic major scale are shown in ascending and descending order. In this study the notes played by eight instruments (flute, tr...

The independence polynomial of a graph G is the generating function I(G, x) = ∑ k≥0 ikx k, where ik is the number of independent sets of cardinality k in G. We show that the problem of evaluating the independence polynomial of a graph at any fixed non-zero number is intractable, evenwhen restricted to circulants. We provide a formula for the independence polynomial of a certain family of circul...