Mathematics of Musical Scales

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

The Mathematics of Musical Instruments

This article highlights several applications of mathematics to the design of musical instruments. In particular, we consider the physical properties of a Norwegian folk instrument called the willow flute. The willow flute relies on harmonics, rather than finger holes, to produce a scale which is related to a major scale. The pitches correspond to fundamental solutions of the one-dimensional wav...

متن کامل

Specifying 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 کامل

A 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 کامل

Two-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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: The Journal of the Acoustical Society of America

سال: 1948

ISSN: 0001-4966

DOI: 10.1121/1.1916975