390 research outputs found
Pure Just Tuning — Complete Harmonic Modulation with 8 Notes
Note
This work is based on Reiji’s original ideas, verbal explanations, and handwritten notes in Japanese.
The English version has been translated by AI and organized by his guardian, with final approval from Reiji himself.
Abstract
This study proposes a novel theoretical approach to achieving a complete modulation system in pure just intonation using only eight notes.
Traditionally, just intonation provides exceptionally beautiful harmony within a single key, but suffers from pitch inconsistencies when modulating to other keys. This research introduces a unique method that combines progressions of perfect fifths and perfect fourths, enabling full key modulation while preserving pure just intonation.
The approach is designed using microtonal approximation, dimensional analysis, and frequency-space visualization, and is based on principles distinct from those of existing tuning systems such as Werckmeister III, Kirnberger III, Vallotti, and Young.
As a result, it theoretically achieves free modulation in pure just intonation—a capability that has long been considered impossible.
Authors: Reiji Konagaya (Primary Author), Nobuyuki Konagaya (Guardian, Co-author)
Update (v1.1):
Added a new figure, “Handwritten Diagram of Second Intervals in Pure Just Intonation,” illustrating the classification of second intervals (minor, neutral, and major) within the proposed tuning system. This addition enhances the visual explanation of the interval structure. No other changes were made to the main content.
Update (v1.2):
Added two new figures — “Handwritten Interval Map with Harmonic Ratios,” showing a sequential layout of pitches with their corresponding frequency ratios, and “Factorized Mathematical Representation of Tuning Ratios,” presenting each note’s ratio in multiple forms including prime factorization. These additions provide further clarity on both the musical and mathematical structure of the proposed tuning system. No other changes were made to the main content.
Update (v1.3):
Added one new figure, “Handwritten Structural Diagram of Pure Just Tuning,” which illustrates how each pitch ratio is derived and interconnected. In addition, new explanatory text was added to the sections “Definitions used in this article,” “Examples,” and “Fifths–Fourths relation,” further clarifying the theoretical framework of the system
Plasma physics and control studies planned in JT-60SA for ITER and DEMO operations and risk mitigation
Alarge superconducting machine, JT-60SA has been constructed to provide major contributions to the ITER program and DEMO design. For the success of the ITER project and fusion reactor, understanding and development of plasma controllability in ITER and DEMO relevant higher beta regimes are essential. JT-60SA has focused the program on the plasma controllability for scenario development and risk mitigation in ITER as well as on investigating DEMO relevant regimes. This paper summarizes the high research priorities and strategy for the JT-60SA project. Recent works on simulation studies to prepare the plasma physics and control experiments are presented, such as plasma breakdown and equilibrium controls, hybrid and steady-state scenario development, and risk mitigation techniques. Contributions of JT-60SA to ITER and DEMOhave been clarified through those studies.Peer ReviewedArticle escrit per 127 autors/autores:
M Yoshida, G Giruzzi, N Aiba, J F Artaud, J Ayllon-Guerola, L Balbinot, OBeeke, E Belonohy, P Bettini, W Bin, A Bierwage, T Bolzonella, M Bonotto, CBoulbe, J Buermans, M Chernyshova, S Coda, R Coelho, S Davis, C Day, GDeTommasi, M Dibon, A Ejiri, G Falchetto, A Fassina, B Faugeras, L Figini, M Fukumoto, S Futatani, K Galazka, J Garcia, M Garcia-Muñoz, L Garzotti, L Giacomelli, L Giudicotti, S Hall, N Hayashi, C Hoa, M Honda, K Hoshino, M Iafrati, A Iantchenko, S Ide, S Iio, R Imazawa, S Inoue, A Isayama, E Joffrin, K Kamiya, Y Ko, M Kobayashi, T Kobayashi, G Kocsis, A Kovacsik, T Kurki-Suonio, B Lacroix, P Lang, Ph Lauber, A Louzguiti, E de la Luna, G Marchiori, M Mattei, A Matsuyama, S Mazzi, A Mele, F Michel, Y Miyata, J Morales, P Moreau, A Moro, T Nakano, M Nakata, E Narita, R Neu, S Nicollet, M Nocente, S Nowak, F P Orsitto, V Ostuni, Y Ohtani, N Oyama, R Pasqualotto, B Pégourié, E Perelli, L Pigatto, C Piccinni, A Pironti, P Platania, B Ploeckl, D Ricci, P Roussel, G Rubino, R Sano, K Särkimäki, K Shinohara, S Soare, C Sozzi, S Sumida, T Suzuki, Y Suzuki, T Szabolics, T Szepesi, Y Takase, M Takech, N Tamura, K Tanaka, H Tanaka, M Tardocchi, A Terakado, H Tojo, T Tokuzawa, A Torre, N Tsujii, H Tsutsui, Y Ueda, H Urano, M Valisa, M Vallar, J Vega, F Villone, T Wakatsuki, T Wauters, M Wischmeier, S Yamoto, L ZaniPostprint (published version
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