Because these keys receive less wear, they are often made of black colored wood and called the black notes or black keys. ,C♯, D♯, F♯, G♯, A♯) are raised and shorter. The keys for the remaining five notes-which are not part of the C major scale-(i.e. Because these keys were traditionally covered in ivo- ry they are often called the white notes or white keys. The twelve notes of the Western musical scale are laid out with the lowest note on the left The longer keys (for the seven "natural" notes of the C major scale: C, D, E, F, G, A, B) jut forward. Since the most commonly en- countered keyboard instrument is the piano, the keyboard layout is often referred to as the "piano keyboard". On electric and electronic key- boards, depressing a key connects a circuit (Hammond organ, digital piano, and synthesizer). Depressing a key on the keyboard causes the in- strument to produce sounds, either by mechanically striking a string or tine (piano, electric piano, clavichord) plucking a string (harpsichord) causing air to flow through a pipe (or- gan) or strike a bell (carillon). Key- boards typically contain keys for playing the twelve notes of the Western musical scale, with a combination of larger, long- er keys and smaller, shorter keys that repeats at the interval of an octave. A musical keyboard is the set of adjacent depressible levers or keys on a musical instrument, particularly the piano. Many people cannot even distinguish between notes an octave apart, and hear them as the same. The octave is an interval common to all music in the world.
Two notes are called an inter- val three or more notes is a chord. A musical note is a vibration of some- thing, and if you double the number of vibrations, you get a note an octave higher likewise if you halve the number of vibrations, it is an octave lower. The fundamental musical concept is proba- bly that of the octave. These notes form the harmonic series: 1/2, 1/3, 1/4, 1/5 etc.
TUNING NOTE C SERIES
Any vibrating object makes overtones or har- monics, which are a series of notes that emerge from a single vibrating object. The ancient Greeks figured out that the integers correspond to musical notes. This paper will allow exploring several aspects of mathematics related to musical concepts. “Music gives beauty and another dimension to mathematics by giving life and emotion to the numbers and patterns.” Mathematical concepts and equations are connected to the designs and shapes of musical instruments, scale intervals and musical compositions, and the various properties of sound and sound production. Mathematics and music are interconnected topics. It is these patterns and combina- tions that make music and math very similar. Notes can be combined in an endless variety of groupings but the number of notes and sounds that exist are finite. In math’s a result always remains fi- nite despite the various ways in which you can add, multiply, subtract, and divide numbers. Music is a series of notes that are played in accordance to a pattern and math’s too works in a similar way. He patterns that exist between math, language, and music have prompted numerous studies to be commissioned to establish their inter- relationship. Index Terms - Piano frequencies, regression, geometric progression,piano keyboard, tuning, sine wave. This paper will also be helpful for music seekers and mathematician to understand easily a relationship between Mathematics and Music from a mathematician prospective.
With the aid of mathematical tools, regression, geometric progression, tuning frequency can be calculated and further related to key of piano used to produce that particular frequency. How piano keys are interrelated with mathematics, frequencies are correlated and discussed. In this paper we have discussed the relation between music and mathematics.
In today’s technology, without mathematics it is difficult to imagine anything feasible. exhibits a remarkable array of number properties", simply because nature itself "is amazingly mathematical". Mathematics is "the basis of sound" and sounds itself "in its musical aspects. Music theorists sometimes use mathematics to understand music. A correlation between Mathematics and Music is shown. Motivation for investigating the connections between these two apparent opposites’ pol es is attempted in this paper. International Journal of Scientific & Engineering Research, Volume 3, Issue 10, October-2012 1ĪNUSHREE SAH, SAURABH RAWAT, BHASKAR NAUTIYAL, ADIL AHMED, OKESH CHHABRAĪbstract- Mathematics, an enigma in numbers and calculations, often accompanied by feelings of rejection and disinterest while Music, a flow with emotions, feelings and life. Tuning of Musical Notes through Mathematics