The Development of "Twelve Tone Equal Temperament" and Its Impact on Future Generations-- Bach's Contribution to the Art of Piano

Author(s):  
Gayle Young

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.


2018 ◽  
Vol 35 (4) ◽  
pp. 475-501 ◽  
Author(s):  
Richard Parncutt ◽  
Graham Hair

The Pythagoreans linked musical intervals with integer ratios, cosmic order, and the human soul. The empirical approach of Aristoxenus, based on real musicians making real music, was neglected. Today, many music scholars and researchers still conceptualize intervals as ratios. We argue that this idea is fundamentally incorrect and present convergent evidence against it. There is no internally consistent “Just” scale: a 6th scale degree that is 5:3 above the 1st is not a perfect 5th (3:2) above the 2nd (9:8). Pythagorean tuning solves this problem, but creates another: ratios of psychologically implausible large numbers. Performers do not switch between two ratios of one interval (e.g., 5:4 and 81:64 for the major third), modern studies of performance intonation show no consistent preferences for specific ratios, and no known brain mechanism is sensitive to ratios in musical contexts. Moreover, physical frequency and perceived pitch are not the same. Rameau and Helmholtz derived musical intervals from the harmonic series, which is audible in everyday sounds including voiced speech; but those intervals, like musical intervals, are perceived categorically. Musical intervals and scales, although they depend in part on acoustic factors, are primarily psychocultural entities—not mathematical or physical. Intervals are historically and culturally variable distances that are learned from oral traditions. There is no perfect tuning for any interval; even octaves are stretched relative to 2:1. Twelve-tone equal temperament is not intrinsically better or worse than Just or Pythagorean. Ratio theory is an important chapter in the history Western musical thought, but it is inconsistent with a modern evidence-based understanding of musical structure, perception and cognition.


2004 ◽  
pp. 65-75 ◽  
Author(s):  
Mst. Afanasiev

Сreation of the stabilization fund has become the main feature of the Russian federal budget for 2004. This instrument provides the opportunity to reduce the dependence of budget incomes on the fluctuations of oil prices. The accepted model does not consider the world experience in building of such funds as the "funds for future generations", and the increase of other revenues from the growing oil prices as well. That can lead to shortening and immobilization of the financial basis of economic growth.


2012 ◽  
pp. 67-93 ◽  
Author(s):  
M. Fleurbaey

The first part of the paper is devoted to the monetary indicators of social welfare. It is shown which methods of quantitative estimating the aggregate wealth and well-being are available in the modern economic theory apart from the traditional GDP measure. The limitations of the methods are also discussed. The author shows which measures of welfare are adequate in the dynamic context: he considers the problems of intertemporal welfare analysis using the Net National Product (NNP) for the sustainability policy and in the context of concern for well-being of the future generations.


2014 ◽  
Vol 76 ◽  
pp. 15-23
Author(s):  
Barrie J. Wills

A warm welcome to our "World of Difference" to all delegates attending this conference - we hope your stay is enjoyable and that you will leave Central Otago with an enhanced appreciation of the diversity of land use and the resilient and growing economic potential that this region has to offer. Without regional wellbeing the national economy will struggle to grow, something Central Government finally seems to be realising, and the Central Otago District Council Long Term Plan 2012-2022 (LTP) signals the importance of establishing a productive economy for the local community which will aid in the economic growth of the district and seeks to create a thriving economy that will be attractive to business and residents alike. Two key principles that underpin the LTP are sustainability and affordability, with the definition of sustainability being "… development that meets the needs of the present without compromising the ability of future generations to meet their own needs."


Author(s):  
Stuart Dunmore

Situated within the interrelated disciplines of applied sociolinguistics and the sociology of language, this book explores the language use and attitudinal perceptions of a sample of 130 adults who received Gaelic-medium education (GME) at primary school, during the first years of that system’s availability in Scotland. The school is viewed by policymakers as a crucial site for language revitalisation in such diverse contexts as Hawai’i, New Zealand and the Basque Country – as well as throughout the Celtic-speaking world. In Scotland, GME is seen as a key area of language development, regarded by policymakers as a strategic priority for revitalising Gaelic, and maintaining its use by future generations of speakers. Yet theorists have stressed that school-based policy interventions are inadequate for realising this objective in isolation, and that without sufficient support in the home and community, children are unlikely to develop strong identities or supportive ideologies in the language of their classroom instruction. For the first time, this book provides an in-depth assessment of language use, ideologies and attitudes among adults who received an immersion education in a minority language, and considers subsequent prospects for language revitalisation in contemporary society. Based on detailed analyses using mixed methods, the book offers empirically grounded suggestions for individuals and policymakers seeking to revitalise languages internationally. 


2019 ◽  
Vol 4 (1) ◽  
pp. 1-12
Author(s):  
Luciana L. Nahumuri

The essence and urgency of government expenditure for regional development is very crucial in realizing sustainable development, meaning that government spending must meet current needs without compromising the fulfillment of the needs of future generations. The higher the state revenue, the higher the state expenditure for regional development. Thus, an increase in understanding of government expenditure for regional development in a sustainable manner must be carried out with the principle of prudence in this country.


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