
pdf - Santa Fe Institute
... canonical tuning systems. We adopt a similar approach here, assuming a fixed number of “discrete” [Burns and Ward p. 243] pitches for a tuning system. While musics vary widely in the numbers of named pitches in use, having a fixed number of pitches offers practical and cognitive advantages. The most ...
... canonical tuning systems. We adopt a similar approach here, assuming a fixed number of “discrete” [Burns and Ward p. 243] pitches for a tuning system. While musics vary widely in the numbers of named pitches in use, having a fixed number of pitches offers practical and cognitive advantages. The most ...
Tuning Continua and Keyboard Layouts - Computer
... Some alternative keyboard designs have the property that any given interval is fingered the same in all keys. Recent work [1, 2] has shown by example that it is possible to have consistent fingering not only across all keys in a single tuning, but also across a range of tunings. For example, a 12-ed ...
... Some alternative keyboard designs have the property that any given interval is fingered the same in all keys. Recent work [1, 2] has shown by example that it is possible to have consistent fingering not only across all keys in a single tuning, but also across a range of tunings. For example, a 12-ed ...
Spectral analysis of different harmonies Implemented by Equal
... noticeable differences in the specific range, and the red-lettered frequencies exist only in the equal tempered tuning. Although the Just tuned major and minor triads have significantly clearer frequency ratio relationships than the Equal tempered major and minor triads, many newly arisen integer re ...
... noticeable differences in the specific range, and the red-lettered frequencies exist only in the equal tempered tuning. Although the Just tuned major and minor triads have significantly clearer frequency ratio relationships than the Equal tempered major and minor triads, many newly arisen integer re ...
RESEARCH ARTICLE Metrics for Scales and Tunings
... continuum of tunings [1]. It is speculated that these invariances can significantly enhance the playability and flexibility of the instrument [1, 11]. (3) Only two control interfaces (such as sliders or rotary knobs) are required to change the tuning of all notes in an ordered way. This enables easi ...
... continuum of tunings [1]. It is speculated that these invariances can significantly enhance the playability and flexibility of the instrument [1, 11]. (3) Only two control interfaces (such as sliders or rotary knobs) are required to change the tuning of all notes in an ordered way. This enables easi ...
Dynamic Tonality - William A. Sethares
... One such temperament is the syntonic temperament [12]. Its period is the octave (P8) and its generator is the tempered perfect fifth (P5). The first comma in its comma sequence is the syntonic comma, after which the temperament is named. All of the other familiar tonal intervals—the minor second, th ...
... One such temperament is the syntonic temperament [12]. Its period is the octave (P8) and its generator is the tempered perfect fifth (P5). The first comma in its comma sequence is the syntonic comma, after which the temperament is named. All of the other familiar tonal intervals—the minor second, th ...
Music Theory: Exploring The 432Hz Tuning Debate
... myself using the Cleartune App for iOS, a handy tool that allows you to change tunings. In Pythagorean tuning, A=432Hz, C =128 Hz, 256 Hz and 512 Hz and G below A = 384 Hz (as examples). When set to Equal Temperament, all the A’s calibrate the same and the others are C=128.4Hz, 256.9Hz, 513.7Hz and ...
... myself using the Cleartune App for iOS, a handy tool that allows you to change tunings. In Pythagorean tuning, A=432Hz, C =128 Hz, 256 Hz and 512 Hz and G below A = 384 Hz (as examples). When set to Equal Temperament, all the A’s calibrate the same and the others are C=128.4Hz, 256.9Hz, 513.7Hz and ...
Program - Michael Harrison, composer and pianist
... being heard. This was necessary for keyboard and fretted instruments, however, it was not a problem with the voice or string instruments that were able to play subtly different versions of the same pitch so as to avoid the commas. In equal temperament all commas are completely obliterated by their e ...
... being heard. This was necessary for keyboard and fretted instruments, however, it was not a problem with the voice or string instruments that were able to play subtly different versions of the same pitch so as to avoid the commas. In equal temperament all commas are completely obliterated by their e ...
Ki ho`alu Guitar Tunings Guitar Tunings
... This manual is divided into three sections: Section 1 – Introduction – Advice about how to read the chord chart diagrams, choosing chord positions on the neck, and an overview of slack key tuning classifications. Section 2 – Tunings - This is the chord chart section of the manual, which also include ...
... This manual is divided into three sections: Section 1 – Introduction – Advice about how to read the chord chart diagrams, choosing chord positions on the neck, and an overview of slack key tuning classifications. Section 2 – Tunings - This is the chord chart section of the manual, which also include ...
Full CD Booklet
... the main harmonic unit of the Etude, which also makes melodic use of the division of an octave into five equal parts. 19 notes: This tuning contains diatonic scales in which the major second spans three chromatic degrees, and the minor second two. Triads are smooth, but the scale sounds slightly out ...
... the main harmonic unit of the Etude, which also makes melodic use of the division of an octave into five equal parts. 19 notes: This tuning contains diatonic scales in which the major second spans three chromatic degrees, and the minor second two. Triads are smooth, but the scale sounds slightly out ...
Regular tuning
Among alternative guitar-tunings, regular tunings have equal musical intervals between the paired notes of their successive open strings. Regular tunings help beginning students to learn the fretboard's notes and chords. Regular tunings also facilitate improvisation by advanced guitarists.Guitar tunings assign pitches to the open strings of guitars. Tunings can be described by the particular pitches that are denoted by notes in Western music. By convention, the notes are ordered from lowest to highest. The standard tuning defines the string pitches as E, A, D, G, B, and E. Between the open-strings of the standard tuning are three perfect-fourths (E-A, A-D, D-G), then the major third G-B, and the fourth perfect-fourth B-E.In contrast, regular tunings have constant intervals between their successive open-strings: 4 semi-tones (major third): Major-thirds tuning, 5 semi-tones (perfect fourth): All-fourths tuning, 6 semi-tones (augmented fourth, tritone, or diminished fifth): Augmented-fourths tuning, 7 semi-tones (perfect fifth): All-fifths tuningFor the regular tunings, chords may be moved diagonally around the fretboard, indeed vertically for the repetitive regular tunings (minor thirds, major thirds, and augmented fourths). Regular tunings thus appeal to new guitarists and also to jazz-guitarists, whose improvisation is simplified. On the other hand, some conventional chords are easier to play in standard tuning than in regular tuning than in standard tuning. Left-handed guitarists may use the chord charts from one class of regular tunings for its left-handed tuning; for example, the chord charts for all-fifths tuning may be used for guitars strung with left-handed all-fourths tuning.The class of regular tunings has been named and described by Professor William Sethares. Sethares's 2001 chapter Regular tunings (in his revised 2010-2011 Alternate tuning guide) is the leading source for this article. This article's descriptions of particular regular-tunings use other sources also.