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{{Short description|Concept in musical set theory}} In [[Set theory (music)|musical set theory]], there are four kinds of interval:<ref name="VivaIntervalNotat ...

...each '''augmented-fourths tuning''' is a [[regular tuning]] in which the [[musical&nbsp;interval]]s between successive [[open string (music)|open-string]] [[o ...gular intervals, [[repetitive tuning|string repetition]], and lefty-righty symmetry. These properties characterize augmented-fourths tunings among non-trivial ...

{{Short description|Musical tuning and scale}} ...th>\varphi = \frac{1+\sqrt{5}}{2} = 1.6180339887\ldots.</math>, which as a musical interval is 833.09<!--833.0902014...--> cents ({{audio|Golden ratio on C.mi ...

...are studied in [[pure mathematics]] for insight into [[homological mirror symmetry]] and [[noncommutative geometry]]. ...brane, of dimension zero; a string, named after vibrating [[string (music)|musical strings]], is a 1-brane; a membrane, named after [[acoustic membrane|vibrat ...

...gs of the guitar to which the term "regular" is applied|regular tunings of musical scales in general|Regular temperament}} ...uitar-tunings, the distance between consecutive open-strings is a constant musical-interval, measured by semitones on the chromatic circle. The chromatic circ ...

* [[Interval vector]], in musical set theory, an array that expresses the intervallic content of a pitch-clas ...tor field]], a vector field on a [[Riemannian manifold]] associated with a symmetry ...

...possible modes of vibration of a circular drum head that are [[Rotational symmetry|axisymmetric]]. Then, the function <math>u</math> does not depend on the an ...tterns]], an early description of a related phenomenon, in particular with musical instruments; see also [[cymatics]] ...

...2–36 and 41–42,{{sfn|Throntveit|1992|p=114}} and also display a remarkable symmetry:{{sfn|Throntveit|1992|p=115}} ...nd Azarael, Milalai, Gilalai, Maai, Nethaneel, and Judah, Hanani, with the musical instruments of David the man of God,'' ...

...the cavity functions similarly to an [[organ pipe]] or [[sound box]] in a musical instrument, oscillating preferentially at a series of frequencies, its reso ...of [[Bessel function]]s or their derivatives (see below), depending on the symmetry properties of the cavity's shape. Alternately it follows that cavity length ...

{{Short description|Musical Instrument}} ...nnot be any privileged directions, since the problem applies to a circular symmetry). ...

...omeomorphisms, given by {{nowrap|GL(2, '''R''')}}, but this high degree of symmetry cannot be exhibited as the group of isometries of any metric. ...of the [[Continuum (set theory)|continuum]]), this is far larger than the symmetry group of any possible embedding of the Möbius band in '''R'''³. ...

...relation between the length of a [[oscillation|vibrating]] string and the musical tone it produces.<ref>{{cite book|title=Vibration of Continuous Systems |au * [[Symmetry in quantum mechanics]] ...

...e feedback classes listed below. Because of the close relationship of flow symmetry to the sound field generated, their concept was included here as part of th ...n several whistles, three stages have been identified. Overblowing in some musical wind instruments causes stage I to jump to stage II. ...

...record|LP]], ''The Arrow of Time'', to be his album with "unique sonic and musical challenges." He stated that the idea behind the theme is to "feel huge, ope ...trymagazine.org/article/do-protons-decay|access-date=July 31, 2020|website=Symmetry Magazine}} ...

...gravity is located in the [[plane (geometry)|plane]] perpendicular to the symmetry axis (parallel to the plane of the two equal points). ...aw Świerczkowski]]. Its applications include the study of plant growth and musical tuning systems, and the theory of [[Sturmian word]]s.<ref name="sos">{{cita ...

...[[Christiaan Huygens]] wrote about it also. Since the standard system of [[musical tuning|tuning]] at that time was [[quarter-comma meantone]], in which the f ...mers degeneracy theorem]] states that for every energy eigenstate of a [[T-symmetry|time-reversal symmetric]] system with half-integer total spin, there is at ...

...ast=Eschner|first=Kat|website=Smithsonian|access-date=2019-10-23}}</ref> [[musical notation]],<ref name=":0">{{Cite web|url=https://www.classicfm.com/discover * [[Doppio Borgato]]: a musical instrument which is a variation of the piano<ref>Larry E. Ashley, Pierce Pi ...

...rt space, the observables are [[hermitian operator]]s on that space, the [[symmetry|symmetries]] of the system are [[unitary operator]]s, and [[quantum measure ...le problem. The eigenvalues 1, {{sfrac|1|2}}, {{sfrac|1|3}}, ... form the (musical) [[harmonic series (music)|harmonic series]].]] ...

...that all energy is translational [[kinetic energy]]. Using a sophisticated symmetry argument,<ref>{{cite web |url=http://galileo.phys.virginia.edu/classes/252/ ...f unimaginable density orbiting each other at the same frequency as the G4 musical note (the 28th white key on a piano). It's also noteworthy that at 350{{nbs ...

...a set of [[translation operator (quantum mechanics)#Discrete Translational Symmetry|discrete translation]] operations described in three dimensional space by: ...rn/science-maths-technology/engineering-and-technology/technology/creating-musical-sounds/content-section-0}}</ref> (The second harmonic is then {{var|f}}<sub ...