Two dimensional musical instrument with three-quarter steps along one dimension
First Claim
1. A musical instrument comprising:
- a two dimensional array of note producing elements,each note producing element producing a note including a fundamental frequency and a plurality of harmonics of the fundamental frequency,the note producing elements in one direction along one dimension of said array including at least eight note producing elements having increasing fundamental frequencies Fn according to the equation
space="preserve" listing-type="equation">F.sub.n =F.sub.0 *2.sup.n/8wherein F0 is the fundamental frequency of the first note producing element in the one dimension and n is the number of the note producing element in the one direction from the first note producing element, andthe note producing elements along a second dimension of said array having fundamental frequencies which differ by greater frequency differences than the frequency differences between adjacent note producing elements along the one dimension of said array.
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Abstract
A musical instrument includes a two-dimension array of note producing elements wherein the elements along one dimension of the array have three-quarter steps or increasing fundamental frequencies Fn according to the equation
F.sub.n =F.sub.0 *2.sup.n/8
wherein F0 is the fundamental frequency of the first note producing element in the one dimension and n is the number of the note producing element in the one direction from the first note producing element. The note producing elements along a second dimension of the array have fundamental frequencies which differ by frequency differences (such as perfect fourth intervals) greater than the frequency differences between adjacent note producing elements along the one dimension of the array.
5 Citations
12 Claims
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1. A musical instrument comprising:
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a two dimensional array of note producing elements, each note producing element producing a note including a fundamental frequency and a plurality of harmonics of the fundamental frequency, the note producing elements in one direction along one dimension of said array including at least eight note producing elements having increasing fundamental frequencies Fn according to the equation
space="preserve" listing-type="equation">F.sub.n =F.sub.0 *2.sup.n/8wherein F0 is the fundamental frequency of the first note producing element in the one dimension and n is the number of the note producing element in the one direction from the first note producing element, and the note producing elements along a second dimension of said array having fundamental frequencies which differ by greater frequency differences than the frequency differences between adjacent note producing elements along the one dimension of said array. - View Dependent Claims (2, 3, 4, 5, 6, 7)
- 6. A musical instrument according to claim 4 wherein the strings have increasing fundamental vibrating frequencies Fn according to the equation
- space="preserve" listing-type="equation">F.sub.n =F.sub.0 *2.sup.n/8.
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7. A musical instrument according to claim 6 wherein one of said members produces string sections along the parallel strings having fundamental frequencies differing by the multiplier 25/12.
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8. A musical instrument comprising:
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first and second pluralities of parallel alternating strings wherein each of the first plurality of strings is divided into two string segments producing notes of a first interval and each of the second plurality of strings is divided into two string segments producing notes of a second interval different from the first interval, the first plurality of strings in the corresponding segments proceeding with successive strings producing corresponding notes of increasing fundamental frequencies F1n according to the equation
space="preserve" listing-type="equation">F.sub.1n =F.sub.10 *2.sup.1n/8wherein F10 is the fundamental frequency of corresponding segments of a first string of the first plurality of strings and 1n is the number of the string in the first plurality of strings in one direction from the first string of the first plurality of strings, and the second plurality of strings in the corresponding segments proceeding with successive strings producing corresponding notes of increasing fundamental frequencies F2n according to the equation
space="preserve" listing-type="equation">F.sub.2n =F.sub.20 *2.sup.2n/8wherein F20 is the fundamental frequency of corresponding segments of a first string of the second plurality of strings and 2n is the number of the string in the second plurality of strings in one direction from the first string of the second plurality of strings. - View Dependent Claims (9, 10, 11, 12)
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Specification