scholarly journals Revising the musical equal temperament

2016 ◽  
Vol 38 (1) ◽  
Author(s):  
Haye Hinrichsen
Keyword(s):  
Nineteenth Century ◽  
Frequency Ratio ◽  
Western Music ◽  
Equal Temperament ◽  
Frequency Ratios ◽  
High Degree

Western music is predominantly based on the equal temperament with a constant semitone frequency ratio of 21/12. Although this temperament has been in use since the nineteenth century and in spite of its high degree of symmetry, various musicians have repeatedly expressed their discomfort with the harmonicity of certain intervals. Recently it was suggested that this problem can be overcome by introducing a modified temperament with a constant but slightly increased frequency ratio. In this paper we confirm this conjecture quantitatively. Using entropy as a measure for harmonicity, we show numerically that the harmonic optimum is in fact obtained for frequency ratios slightly larger than 21/12. This suggests that the equal temperament should be replaced by a harmonized stretched temperament as a new standard.

Czech National Awareness in Moravia in the Revolutionary Years 1848/1849

2014 ◽  
Vol 6 (1) ◽  
Author(s):  
František Čapka
Keyword(s):  
Nineteenth Century ◽  
Necessary Conditions ◽  
Cultural Contact ◽  
Significant Change ◽  
Mutual Relations ◽  
High Degree

AbstractThis study focuses on the process of the gradual shaping of Czech national awareness in Moravia from the beginning of the nineteenth century onwards when the necessary conditions for the development of improved mutual relations between the Czech (Slavic) population in the two Lands of the Czech Crown -Bohemia and Moravia - were slowly being formed. Moravia faced a number of handicaps to the development of a national revival in comparison with Bohemia, the most significant of which was the relatively high degree of Germanisation of the land. A change to the image of Moravia came in the revolutionary years 1848/1849, when Czech national awareness spread to broader sections of society in Moravia. The view of Bohemia held by the Moravians underwent significant change and a period of increasingly intensive political and cultural contact between the two lands arose.

Exploring the X-ray universe via timing: mass of the active galactic nucleus black hole XMMUJ134736.6+173403

2019 ◽  
Vol 15 (S356) ◽  
pp. 348-350
Author(s):  
Eva Šrámková ◽  
K. Goluchová ◽  
G. Török ◽  
Marek A. Abramowicz ◽  
Z. Stuchlík ◽  
...  
Keyword(s):  
Black Hole ◽  
Frequency Ratio ◽  
Active Galactic Nucleus ◽  
Periodic Modulation ◽  
X Ray ◽  
Upper Limit ◽  
M 10 ◽  
Frequency Ratios ◽  
Quasiperiodic Oscillations ◽  
Twin Peak

AbstractA strong quasi-periodic modulation has recently been revealed in the X-ray flux of the X-ray source XMMUJ134736.6+173403. The two observed twin-peak quasiperiodic oscillations (QPOs) exhibit a 3:1 frequency ratio and strongly support the evidence for the presence of an active galactic nucleus black hole (AGN BH). It has been suggested that detections of twin-peak QPOs with commensurable frequency ratios and scaling of their periods with BH mass could provide the basis for a method intended to determine the mass of BH sources, such as AGNs. Assuming the orbital origin of QPOs, we calculate the upper and lower limit on the AGN BH mass M, reaching M ≍ 107–109M⊙. Compared to mass estimates of other sources, XMMUJ134736.6+173403 appears to be the most massive source with commensurable QPO frequencies, and its mass represents the current observational upper limit on the AGN BH mass obtained from the QPO observations.

Microtonality

2018 ◽  
Author(s):  
Gayle Young
Keyword(s):  
Nineteenth Century ◽  
Twelve Tone ◽  
Equal Temperament

Microtonality refers to any use of pitch that departs from twelve equally-spaced tones per octave (twelve-tone equal temperament), the standard tuning established in Europe since the nineteenth century. This tuning has come to dominate music internationally through the widespread use of mass-produced instruments with standard tunings, such as electronic keyboards.

Literature, Music, and Science in Nineteenth Century Russian Culture: Prince Odoyevskiy’s Quest for a Natural Enharmonic Scale

2002 ◽  
Vol 15 (2) ◽  
pp. 183-207 ◽  
Author(s):  
Dimitri Bayuk
Keyword(s):  
Nineteenth Century ◽  
Short Stories ◽  
Musical Instrument ◽  
Experimental Science ◽  
Musical Culture ◽  
Musical Scale ◽  
Russian Music ◽  
Positive Science ◽  
Equal Temperament ◽  
And Mathematics

ArgumentAn attempt to understand and analyze a unique nineteenth-century musical instrument – the enharmonic piano from the collection of the Glinka Museum of Russian Musical Culture in Moscow – directs a historian towards Prince Vladimir Odoyevskiy’s efforts to construct a special musical scale corresponding to the indigenous tradition of Russian music. Known today mostly as an author of Romantic short stories, Odoyevskiy was also an amateur scientist and musician, a follower of Schelling’s Naturphilosophie, and a mystic. He tried to design his new musical scale and instruments on the basis of experimental science and mathematics. Odoyevskiy’s life-long search for a synthesis of literature, music, positive science, and spirituality demonstrates how the adaptation and appropriation of European arts preceded and paved the way towards the appropriation of European sciences among the educated élite in nineteenth-century Russia. The tensions inherent in the process led to Odoyevskiy’s nationalist rebellion against the European musical standard, the equal temperament. His call for a different musical scale remained largely ignored in the nineteenth century, until the topic was raised anew by twentieth-century composers and musicians.

The implications of illegitimacy in late-nineteenth-century Iceland: the relationship between infant mortality and the household position of mothers giving birth to illegitimate children

2000 ◽  
Vol 15 (3) ◽  
pp. 435-461 ◽  
Author(s):  
ÓLÖF GARĐARSDÓTTIR
Keyword(s):  
Nineteenth Century ◽  
Infant Mortality ◽  
Premarital Sex ◽  
Late Nineteenth Century ◽  
Sexual Permissiveness ◽  
Late Nineteenth ◽  
Premarital Sexual ◽  
High Degree ◽  
Sex Attitudes ◽  
The Relationship

In his article ‘Premarital sexual permissiveness and illegitimacy in the Nordic Countries’, Richard F. Tomasson discusses high illegitimacy rates in preindustrial Iceland. He points out that during the nineteenth century children born out of wedlock were proportionally more numerous in Iceland than in other European countries. In Tomasson's view high illegitimacy rates in Iceland were due to liberal attitudes towards premarital sex – attitudes that were deeply rooted in traditional Nordic society. In his words, ‘The Ancient Scandinavians accorded women higher status, and along with this went liberal attitudes toward premarital sex relations, illegitimacy, and divorce. Such attitudes often appear to be a concomitant of a high degree of equality between the sexes.’

Trading Firms in Colonial India

2014 ◽  
Vol 88 (1) ◽  
pp. 9-42 ◽  
Author(s):  
Tirthankar Roy
Keyword(s):  
Nineteenth Century ◽  
Business History ◽  
Institutional Adaptation ◽  
Colonial India ◽  
High Degree

The aim of this article is to develop a general narrative of the firms that led the growth of trade in nineteenth-century India, and thus to supply a missing piece in modern Indian business history. The trading firms had several features in common with trading firms globally, especially, a high degree of mobility, institutional adaptation, and occasionally, diversification into banking and manufacturing. But certain aspects of the process were specific to the regions where they operated, such as differences between the ports and the interior trading orders, between cities, and between expatriate and indigenous firms. The article reconsiders these features.

Lock-On Vortex Shedding Patterns and Bifurcation Analysis of the Forced Streamwise Oscillation of the Cylinder Wake

2015 ◽  
Vol 25 (09) ◽  
pp. 1530022
Author(s):  
N. Nabatian ◽  
N. W. Mureithi
Keyword(s):  
Frequency Ratio ◽  
Transverse Velocity ◽  
Lift Coefficient ◽  
Oscillation Amplitude ◽  
Vortex Formation ◽  
Excitation Frequency ◽  
Immersed Boundary ◽  
Cylinder Wake ◽  
Single Vortex ◽  
Frequency Ratios

The two-dimensional numerical simulation of the flow over a cylinder forced to oscillate in the streamwise direction for Re = 200 is performed in CFX ANSYS. The controlled-vibration comprises of prescribed inline vibration from displacement amplitude-to-cylinder diameter A/D = 0.05 up to 0.5 with the excitation frequency ratios of 1, 1.5 and 2 including the harmonic and superharmonic excitation regions. The immersed boundary method is used to model the cylinder oscillation. Modal decomposition of the transverse velocity field via the proper orthogonal decomposition (POD) method is applied to uncover the interaction of symmetric and antisymmetric modes of the near wake. A model using the first two POD modes is developed based on symmetry group equivariance. The model predicts the mode interactions and bifurcated solution branches for all cases, and is shown to be in good agreement with numerical as well as previous experimental results. Lock-on is determined for a range of values of the oscillation amplitudes and frequency ratios. It is shown that the lock-on range widens with increasing nondimensional oscillation amplitude. The asymmetric 2S, P + S and symmetric pattern S with symbol S for a single vortex and P for a vortex pair shed per cycle, as well as a regime in which vortex formation is not synchronized with cylinder motion are observed in the cylinder wake depending on the combination of oscillation amplitude and frequency ratio. The frequency ratio variation from 1 to 2 leads to the switching from asymmetric to symmetric modes. The symmetric flow pattern corresponds to a near zero lift coefficient on the cylinder.

scholarly journals Formation of double emulsion micro-droplets in a microfluidic device using a partially hydrophilic–hydrophobic surface

RSC Advances ◽  
2021 ◽  
Vol 11 (56) ◽  
pp. 35653-35662
Author(s):  
Ampol Kamnerdsook ◽  
Ekachai Juntasaro ◽  
Numfon Khemthongcharoen ◽  
Mayuree Chanasakulniyom ◽  
Witsaroot Sripumkhai ◽  
...  
Keyword(s):  
Flow Rate ◽  
Frequency Ratio ◽  
Encapsulation Efficiency ◽  
Double Emulsion ◽  
Hydrophobic Surface ◽  
Water Droplets ◽  
Oil In Water ◽  
Rate Ratios ◽  
Frequency Ratios ◽  
Ratio Range

(a) Droplet encapsulation efficiency & inner and outer diameters of water-in-oil-in-water droplets at various frequency ratios and flow rate ratios and (b) Images of water-in-oil-in-water droplets over a frequency-ratio range of fr = 0.73–1.30

scholarly journals A Frequency Ratio Account of Temporal Atomism

2021 ◽  
Vol 50 (1) ◽  
pp. 107-127
Author(s):  
Carey R. Carlson ◽  
Keyword(s):  
Frequency Ratio ◽  
Final Section ◽  
Relative Duration ◽  
Time Duration ◽  
Physical Universe ◽  
Temporal Succession ◽  
Energy Ratios ◽  
The Common ◽  
The Mind ◽  
Frequency Ratios

This article examines the time duration of individual occasions in the light of the discovery that temporal succession produces frequency ratios. The frequency ratios are used to define energy ratios and the quantum. The manifold and the common particles are constructed graphically using the arrows of time, with the mass-ratios of the particles derivable from the graphs. The formal reduction of physics to time compels us to adopt Whitehead's conception of the physical universe as occasions of experience engaged in temporal/causal succession. The relative duration of the constituent occasions of the particles are determined by their graphs. In the final section, a refined account of the mind-brain interaction sequence confirms the duration of a human occasion as one tenth of a second.

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