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The Diminished Whole Tone Scale on F in staff with the G clef. 

The Diminished Whole Tone Scale on F in staff with the G clef. 

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In this study we generate musical chords from the oscillation frequencies of the primary component of oscillating eclipsing Algol system Y Cam. The parameters and the procedure of the musical chord generation process from the stellar oscillations are described in detail. A musical piece is also composed in appropriate scale for Y Cam A by using the...

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... that a chord is a group of sound waves hav- ing many frequencies emerged simultaneously from a musical instrument. This phenomenon shows analogy to the light received from a multiperiodic pulsating star. The light curve of a multiperiodic pulsating star exhibits a wave containing many sine like variations with certain frequencies, amplitudes and phase shift values which can be determined by analyzing the light emerged from the star. This similarity were used in generating a chord from the asteroseismic results of the multiperiodic pulsating component of Y Cam in this study. We first defined three dimensionless transformation parameters in order to generate a musical chord from the stellar oscillations: The relative frequency was defined as f = f min f i where f i s are the derived oscillation frequencies for a pulsating star and f min is the minimum frequency value among the derived ones. The loudness parameter, L = A i , refers to A max the relative loudness of a signal and it is the ratio of A i , amplitude value for a given oscillation frequency of star, to A max , maximum amplitude value within the derived frequency group. p parameter denotes the starting time of the signal and is the difference between the phase shift value of a given frequency and the minimum phase shift value ( p = φ i − φ min ) among the derived parameters from oscillations of the star. We calculated the three parameters ( f , L, p ) for the oscillation frequencies of Y Cam A derived by Kim et al. (2002). Following their results we calculated the necessary quantities for the transformation as f min = 15 . 0473 c/d , A max = 5 . 8 mmag and φ min = − 1 . 31. In order to generate a chord which is unique for the star we first generated the tones for the mentioned chord using the necessary parameters described above. Table 1 lists the calculated values for the parameters which were used to generate the tones by using the Audacity 2 audio editor. The program can generate tones for a given frequency, normalized amplitude and starting time values. Three steps in the process of tone generation were followed: (i) We multiplied all f values with the frequency value of the desired musical note. For instance, when we wanted to transform the smallest frequency to the fourth octave note G we multiplied f values with 392.0 Hz 3 and we derived four new frequency values (392.00 Hz, 398.00 Hz, 469.09 Hz and 483.65 Hz). These values were applied to the program as the frequencies of four tones. (ii) The L values were directly entered the program as normalized amplitudes. (iii) the p parameters were the input values characterizing the starting times of the generated tones. When finished with those three steps we generated four tones (one for each oscillation frequency) which can be played together to generate the chord on the desired note. The same procedure was followed for the notes G , A , C and D . The frequency values of the tones based on these notes are listed in Table 1. A group of digital sound files for the generated chords on the mentioned notes were also produced and can be found in an online playlist 4 Since the oscillation frequencies of the primary component of the eclipsing binary system Y Cam shows an agreement with the Diminished Whole Tone Scale (Ula s, 2009) we planned to compose a piano piece in mentioned scale and accompany the chords generated from the oscillations of the star in the previous section. A musical scale is defined as series of countless variety of selected musical notes (Wood, 1964). The Diminished Whole Tone Scale on F was selected as the scale during the composition. The places of the musical notes in Diminished Whole Tone Scale on F on the staff is given in Fig. 1. The 5 ...