Maths and music - Project Jugaad
... performing, the maths required are basic counting, simple fractions and that is it. You may have heard the maths / music point exaggerated as if the combination of the two were a key to understanding the universe. ...
... performing, the maths required are basic counting, simple fractions and that is it. You may have heard the maths / music point exaggerated as if the combination of the two were a key to understanding the universe. ...
Music of Ancient Greece (ca. 7 Century B.C.E. – 476 C.E.)
... Musical intervals and intonation (tuning) were derived from Pythagoras. Pythagoras derived scales by tuning successive perfect, or pure fifths and bringing the frequencies down within the same octave. He figured this out mathematically, and gave birth to what is called “Pythagorean Intonation.” Pyth ...
... Musical intervals and intonation (tuning) were derived from Pythagoras. Pythagoras derived scales by tuning successive perfect, or pure fifths and bringing the frequencies down within the same octave. He figured this out mathematically, and gave birth to what is called “Pythagorean Intonation.” Pyth ...
![Q1 [20 points] Q2 [20 points]](http://s1.studyres.com/store/data/012801942_1-7e7115778c021991ef6f06b5ae7330d9-300x300.png)
56. pianissimo (pp) - very soft 57. piano (p) - soft
... Chorus Vocabulary P - R 55. phrase - a single musical idea 56. pianissimo (pp) - very soft 57. piano (p) - soft 58. pizzicato (pizz.) – strings are plucked with fingers rather than bowed 59. poco a poco - little by little 60. portamento –the voice glides through all the pitches 61. prestissimo – as ...
... Chorus Vocabulary P - R 55. phrase - a single musical idea 56. pianissimo (pp) - very soft 57. piano (p) - soft 58. pizzicato (pizz.) – strings are plucked with fingers rather than bowed 59. poco a poco - little by little 60. portamento –the voice glides through all the pitches 61. prestissimo – as ...
Music Notation 2
... air. The more compressions and rarefactions, or cycles, that occur within a time period determine the pitch of the sound. For example, if a sound source, such as a vibrating string changing the air pressure, oscillates, or completes a cycle, at 440 times per second, the frequency is said to be 440 h ...
... air. The more compressions and rarefactions, or cycles, that occur within a time period determine the pitch of the sound. For example, if a sound source, such as a vibrating string changing the air pressure, oscillates, or completes a cycle, at 440 times per second, the frequency is said to be 440 h ...
Strähle construction
Strähle's construction is a geometric method for determining the lengths for a series of vibrating strings with uniform diameters and tensions to sound pitches in a specific rational tempered musical tuning. It was first published in the 1743 Proceedings of the Royal Swedish Academy of Sciences by Swedish master organ maker Daniel Stråhle (1700–1746). The Academy's secretary Jacob Faggot appended a miscalculated set of pitches to the article, and these figures were reproduced by Friedrich Wilhelm Marpurg in Versuch über die musikalische Temperatur in 1776. Several German textbooks published about 1800 reported that the mistake was first identified by Christlieb Benedikt Funk in 1779, but the construction itself appears to have received little notice until the middle of the twentieth century when tuning theorist J. Murray Barbour presented it as a good method for approximating equal temperament and similar exponentials of small roots, and generalized its underlying mathematical principles.It has become known as a device for building fretted musical instruments through articles by mathematicians Ian Stewart and Isaac Jacob Schoenberg, and is praised by them as a unique and remarkably elegant solution developed by an unschooled craftsman.The name ""Strähle"" used in recent English language works appears to be due to a transcription error in Marpurg's text, where the old-fashioned diacritic raised ""e"" was substituted for the raised ring.