Search results for "Equal temperament"
showing 4 items of 4 documents
A MIDI sequencer that widens access to the compositional possibilities of novel tunings
2012
We present a new Dynamic Tonality MIDI sequencer, Hex, that aims to make sequencing music in and across a large variety of novel tunings as straightforward as sequencing in twelve-tone equal temperament. It replaces the piano roll used in conventional MIDI sequencers with a two-dimensional lattice roll in order to enable the intuitive visualization and dynamic manipulation of tuning.\ud \ud In conventional piano roll sequencers, a piano keyboard is displayed on the left side of the window, and white and black note lanes extend horizontally to the right, into which a user can draw a sequence of notes. Similarly, in Hex, a button lattice is displayed in its own pane on the left side of the wi…
Fuzzy tuning systems: the mathematics of musicians
2005
We present some mathematical properties which determine tuning methods. We introduce the concept of fuzzy tuning systems and we analyze four of the systems coexisting within the current orchestras: Pythagorean, Just Intonation, Holder's and Equal Temperament systems. We show that the theoretical and practical tuning methods are the same. We introduce the idea of compatibility between tuning systems and we give some sufficient conditions to determine an appropriate number of notes into which the octave must be divided.
Compatibility of the Different Tuning Systems in an Orchestra
2009
Focusing on the daily practice of musicians, we give flexibility to the mathematical treatment of musical notes, tuning systems and the relations between them. This allows us to connect the theory and the practice of music. Using the techniques of fuzzy logic, we describe the concepts with fuzzy sets and introduce the α-compatibility as a degree of interchangeability between tuning systems. To show how our proposal works, we use a fragment of Haydn and analyze the compatibility of the notes taken from 48 recordings for the tuning systems of Pythagoras, Zarlino and Equal Temperament of 12 notes.
Challenging equal temperament : perceived differences between twelve-tone equal temperament and twelve fifth-tones tuning
2017
A listening experiment was arranged to evaluate perceptual preferences between two musical tuning systems: twelve-tone equal temperament (i.e. the current international standard) and twelve fifth-tones tuning. The latter being a system that, according to its author Maria Renold, provides a more accurate and aurally genuine reproduction of musical harmonics. Hence, it is considered a superior tuning method compared to the equal temperament tuning. 34 participants (mainly experienced musicians) evaluated realistic musical stimuli consisting of intervals, chords and simple musical sequences using a grand piano timbre. Results showed that the standard twelve-tone equal temperament system was fo…