Terence B Allen

8 Questions 21 Answers 0 Followers

Questions related from Terence B Allen

Can A Machine Write Tablature Like A Human?

It is not possible to learn a language such as English using only the alphabet but a guitarist can learn guitar knowing only the numeric guitar tuning. The fact that the guitar tuning is necessary...

05 May 2018 6,294 0 View

Are frequency and amplitude always scalar values in harmonic systems where every value is defined a simple multiple of the fundamental frequency?

Frequency and amplitude are generally considered to be scalar values and not vectors, implying they can be defined by a point on a real number line scale. But there is another mathematical view in...

03 March 2018 3,149 0 View

Since the vibrating string is defined in Z2 by a map S1 on S1, is there a field F2 above Z2?

I think it is clear classic string theory is defined in Z2, if only because waves are 1 and nodes are zero. If we assume the string waves and nodes are defined in Z2 as a deductive system, the...

06 June 2016 2,364 3 View

How many degrees of freedom does a musical string have? 1, 2, or n?

Daniel Bernoulli established the principle that the number of modes of vibration in a system is equal to the degrees of freedom. In his method of hanging weights on a string, I assume without any...

06 June 2016 845 6 View

Is the Euler number of the musical string concatenation 2?

Working on the boundary problem for the vibrating string, so I want to apply simplex theory. I figure the Euler number for the string v - e + f is calculated as 2. The reason is the there are n +...

06 June 2016 5,849 2 View

Is the "twisted 2-torus" isomorphic to the torus or sphere?

In "A Geometry of Music" by Tymoczko the author describes a lattice that "lives in what mathematicians call 'the interior of a twisted triangular two-torus,' otherwise known as a triangular...

05 May 2016 7,561 2 View

Does this prove that guitar music intelligence theory is a topology?

Please see attached brief mathematic statement in which I think I have shown that guitar tuning and intonation are inverse functions. Do you agree? Is there an error in the argument you can find?

01 January 1970 6,931 7 View

Can you help me design an experiment tesing whether a string has one simultaneous mode or many?

The Newtonian model of string vibration traces to Euler who asserted the string can have the shape of any curve that can be drawn free hand. The Hamiltonian model traces to Brook Taylor who...

01 January 1970 3,032 3 View