scholarly journals Interval Permutations

2013 ◽  
Vol 19 (3) ◽  
Author(s):  
Drew F. Nobile

This paper presents a framework for analyzing the interval structure of pitch-class segments (ordered pitch-class sets). An “interval permutation” is a reordering of the intervals that arise between adjacent members of these pitch-class segments. Because pitch-class segments related by interval permutation are not necessarily members of the same set-class, this theory has the capability to demonstrate aurally significant relationships between sets that are not related by transposition or inversion. I begin with a theoretical investigation of interval permutations followed by a discussion of the relationship of interval permutations to traditional pitch-class set theory, specifically focusing on how various set-classes may be related by interval permutation. A final section applies these theories to analyses of several songs from Schoenberg’s op. 15 song cycle The Book of the Hanging Gardens.

1997 ◽  
Vol 15 (1) ◽  
pp. 1-29 ◽  
Author(s):  
René Van Egmond ◽  
David Butler

This is a music-theoretical study of the relationship of two-, three-, four-, five-, and six-member subsets of the major (pure minor), harmonic minor, and melodic (ascending) minor reference collections, using pitchclass set analytic techniques. These three collections will be referred to as the diatonic sets. Several new terms are introduced to facilitate the application of pitch-class set theory to descriptions of tonal pitch relations and to retain characteristic intervallic relationships in tonal music typically not found in discussions of atonal pitch-class relations. The description comprises three parts. First, pitch sets are converted to pitchclass sets. Second, the pitch- class sets are categorized by transpositional types. Third, the relations of these transpositional types are described in terms of their key center and modal references to the three diatonic sets. Further, it is suggested that the probability of a specific key interpretation by a listener may depend on the scale-degree functions of the tones.


2019 ◽  
Vol 63 (2) ◽  
pp. 167-207
Author(s):  
Leah Frederick

This article constructs generic voice-leading spaces by combining geometric approaches to voice leading with diatonic set theory. Unlike the continuous mod-12 spaces developed by Callender, Quinn, and Tymoczko, these mod-7 spaces are fundamentally discrete. The mathematical properties of these spaces derive from the properties of diatonic pitch-class sets and generic pitch spaces developed by Clough and Hook. After presenting the construction of these voice-leading spaces and defining the OPTIC relations in mod-7 space, this article presents the mod-7 OPTIC-, OPTI-, OPT-, and OP-spaces of two- and three-note chords. The final section of the study shows that, although the discrete mod-7 versions of these lattices appear quite different from their continuous mod-12 counterparts, the topological space underlying each of these graphs depends solely on the number of notes in the chords and the particular OPTIC relations applied.


Author(s):  
Zhi Yang ◽  
Quang Van Ngo ◽  
Chung Xuan Thi Nguyen

In the era of the information-communication technology with the development of electronic commerce, consumers can buy almost everything anywhere and at any time. One of the greatest benefits of e-commerce has been the convenience and the vast choices which consumers get online. However, some serious issues exist that impede consumers from transaction online. These issues have attracted the attention of many marketing researchers in recent years. In this research, the authors focus on the impact of consumers' ethics perception of e-retailer on their purchase intention and satisfaction. The authors also try to clarify the roles of trust and commitment in the relationship of ethics on consumers purchase decision and satisfaction because of their importance in e-commerce but also the privation in the research of previous studies. The data collected from a survey of 390 online consumers in Vietnam. Results reveal that there are significant relationships between online retailers' ethics and consumers' purchase intention and satisfaction via the mediation of trust and commitment.


Plant Disease ◽  
1999 ◽  
Vol 83 (3) ◽  
pp. 279-285 ◽  
Author(s):  
C. H. Bock ◽  
P. J. Cotty

During 1995 and 1996, a commercial gin in western Arizona ginned seed cotton on a field-by-field basis. Seed from each field was kept separate until sampled and analyzed for aflatoxin content according to Arizona Commercial Feed Law. This gave a comprehensive view of field-to-field variability in aflatoxin content as the season progressed. Regression analysis indicated significant relationships between gin date and aflatoxin content in both years: aflatoxin increased with later ginnning. Overall, 89 and 79% of seed lots exceeded 20 ppb in 1995 and 1996, respectively. No field ginned after Julian Day (JD) 273 in 1995 or after JD 267 in 1996 had an aflatoxin content <20 ppb. Means separation confirmed later ginned crops had significantly greater aflatoxin content (P = 0.05). In 1996, transgenic Bt and non-Bt cottonseed were similarly contaminated. Mean aflatoxin content of Bt cottonseed in 1996 was 413 ppb and that of non-Bt cottonseed was 598 ppb. These observations suggest that, in Arizona, losses from aflatoxin contamination of cottonseed can be reduced by early harvest.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Abhijeet Vikramaditya Tiwari ◽  
Naval Bajpai ◽  
Deependra Singh ◽  
Vishal Vyas

Purpose This study aims to examine the hedonism attributes, memorable tourism experience (MTE), revisit intention and their relationships. This study explores the antecedents of hedonism as physical environment, shopping at the destination, service quality, personalisation and exclusivity that influence MTE. The relationship of hedonism factors with revisit intention is also investigated in light of the mediation of MTE between them. Design/methodology/approach For this study, a sample of 600 tourists is collected by using the convenience sampling technique. The collected data is analysed by using the confirmatory factor analysis-structural equation modelling approach. Findings The empirically validated model recommends the significant relationships between the hedonism elements and revisits intention with the mediating effect of MTE. The findings suggest that tourists who positively perceive hedonism attributes are more likely to have positive MTEs, and they revisit the destination. Originality/value This research study examines the relationship of hedonism determinants with MTE of the tourists leading to their revisit intention for a tourism destination. It helps to understand MTE as the main component to affect tourists’ revisit intention for a destination and make sustainable tourism.


1982 ◽  
Vol 13 (2) ◽  
pp. 30-33 ◽  
Author(s):  
Robert J. Wilson ◽  
John D. Rasch

This study investigated the relationship of job maintenance to select characteristics of competitive jobs held by 53 psychiatrically handicapped individuals who had participated in a psychosocial rehabilitation program. The results indicated that placements maintained the longest generally involved more significant relationships with things (sixth digit of the Dictionary of Occupational Titles code). Specific vocational preparation requirements of placements were also somewhat higher in longer maintained jobs. It was found that strength requirements, general educational development, and average aptitude requirements were not strongly related to job maintenance.


1949 ◽  
Vol 43 (3) ◽  
pp. 441-459
Author(s):  
Thomas L. Blakemore

A peculiar and difficult nationality problem latent for decades in the relationship of American to Japanese law suddenly has emerged since the Japanese surrender in 1945. Directly involved is the nationality status of several thousands of Nisei (American-born individuals of Japanese paternity) who now are dismayed to discover that certain actions taken by them or on their behalf in the course of World War II either have seriously clouded their claims to American citizenship or have resulted in an apparently irrevocable expatriation. Stated briefly, the problem involved is that of the effect on American nationality of reacquisition of Japanese nationality obtained through a process known to Japanese law as “recovery.” In this article a description first is made of the Japanese legal institution of “recovery” and its relationship to other phases of Japanese nationality law. Consideration then is given to the application to “recoveries” of those articles and sections of the American Nationality Acts of 1907 and 1940 which deal with expatriation. In a final section, certain troublesome categories of ostensible “recoveries” as well as “recoveries” obtained during minority are examined, and various possibilities are explored for challenging the apparent loss of American nationality which has resulted.


1988 ◽  
Vol 7 (2) ◽  
pp. 115-120 ◽  
Author(s):  
Madge H. Ashy ◽  
Amelia M. Lee ◽  
Dennis K. Landin

This study examined the relationship between the total number of practice trials and practice trials using correct technique and achievement in a soccer kick-up skill. Eight preservice physical education teachers taught two lessons to 10 fourth-grade students; upon completion of the instructional periods the students were posttested on the soccer skill. Each class was videotaped, and the entire lesson for each day was coded for each student using an event-recording system. Findings indicated moderately high significant relationships between practice using correct technique and student achievement.


2002 ◽  
Vol 08 (06) ◽  
pp. 732-748
Author(s):  
K. Z. Awad

The relationship of AIDS knowledge and self-efficacy to high-risk sexual practices among Lebanese males in NewYork was examined. Self-administered questionnaires were completed by a convenience sample. Relationships between AIDS-knowledge and self-efficacy and high-risk sexual practices for the 25 homosexual men were rarely significant, probably because of the small sample. The 261 heterosexual participants had statistically significant relationships between AIDS-knowledge and 9 high-risk sexual practices and between self-efficacy and 18 high-risk sexual practices. For heterosexuals, and to a lesser degree for homosexuals, high-risk sexual practices increased as drug-related behaviours and sex with prostitutes increased.


2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Yevgeniya Vorontsova ◽  
Olga Rzhanyova

The article reflects the results of a two-year study of educational and physical activity of university students. The article deals with the concept of activity, its types - physical and intellectual activity of students, approaches to indicators of physical activity, on the basis of which the components of physical activity are identified; it presents national and foreign studies of the relationship of types of activity. The article demonstrates the results of investigating the relationships between the manifestations of the types of activity of students and athletes studying at the university. The most significant relationships are found between the regulatory component and the result of educational activity; the potential of educational activity and the operational component of physical activity. Analysis of the relationships allows to make a conclusion that academic performance has links with most components of educational activity in both groups. The revealed connections between the components of physical and educational activiies are specific for athletes and students in terms of their number, orientation and strength.


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