Musical Mathematics

ON THE ART AND SCIENCE OF ACOUSTIC INSTRUMENTS

Table of Contents

Buy now at Amazon.com and AbeBooks.com.

* * * * *

Musical Mathematics Online PDF Citations / Citations as PDF Files

1. How Music and Mathematics Relate [PDF]

 

2. In Defense of Music’s Eternal Nature: On the Pre-eminence of Musica theorica Over Musica practica [PDF]

 

3. Soittimen kehittäminen kehitysvammaiselle : soitinrakennus erityispedagogiikan kontekstissa [PDF]

 

4. The Hurrian Pieces, ca. 1350 BCE: Part Two — From Numbered Strings to Tuned Strings [PDF]

 

5. Music and Dance of the Middle East [PDF]

 

6. The Ear, Music, and Math [PDF]

 

7. The search for a microtonal Flute [PDF]

 

8. Metingen en Analyse van Muziekinstrumenten [PDF]

 

9. The Haydn and Hummel Trumpet Concertos and Their Similarities [PDF]

 

10. Acoustic Resonance in Cylindrical Tubes with Side Branches [PDF]

 

11. Mathematical Modeling of Resonance in an Open-Ended Cylinder [PDF]

 

12.The Blues Scale [PDF]

 

13. Mathematics, Music, and the Guitar [PDF]

 

14. Tópicos Especiais em Luteria [PDF]

 

15. Curso Superior de Tecnologia em Luteria [PDF]

 

16. The Development of the Equal Temperament Scale: Evolution or Radical Change? [PDF]

 

17. The Mathematics, Physics, and Computation of Music [PDF]

 

18. Discovering the Art of Mathematics: Music [PDF]

 

19. The Celtic Lyre [PDF]

 

20. Music in Islamic Spiritual Care: A Review of Classical Sources [PDF]

 

21. Appraising Timbre: Embodiment and Affect at the Threshold of Music and Noise [PDF]

 

22. Theoretical Framework for Modeling Ingressive Phonation [PDF]

 

23. Einführung, Stimmung, und Intonation [PDF]

 

24. Müzik İşaretlerinde Öznitelik Belirlenmesi… [PDF]

 

25. Ancient Strings: Alapini Vina [PDF]

 

26. Music of India – a brief outline – Part sixteen [PDF]

 

27. In Search of the Colascione or Neapolitan Tiorba. – a Missing Link? [PDF]

 

28. Quantitative Analysis of Guitar Harmonic Character [PDF]

 

29. El pensamiento religioso en la música de Arnold Schönberg [PDF]

 

30. Matematica e Musicologia: la costruzione dei temperamenti [PDF]

 

31. Authority, Critique, and Revision in the Sanskrit Music-Theoretic Tradition: Rereading the Svara-mela-kalānidhi [PDF]

 

32. On The Performance of Segment Averaging of Discrete Cosine Transform Coefficients on Musical Instruments Tone Recognition [PDF]

 

33. Creative Musical Instrument Design [PDF]

 

34. The Geometry of Musical Logarithms [PDF]

 

35. Raga (Melodic Mode) [PDF]

 

36. The Birl Physical Model [PDF]

 

37. Komposisi “Jangkah” Klonthong Laras Pelog [PDF]

 

38. Natya Shastra [PDF]

 

39. The Oud Across Arabic Culture [PDF]

 

40. Vocal similarity predicts the relative attraction of musical chords [PDF]

 

41. Música y Matemáticas: Conexiones Entre Sonidos y Números [PDF]

 

42. The Foundations of Harmonic Tensions [PDF]

 

43. Music Across Times and Fences [PDF]

 

44. Physics of Musical Instrument (woodwind instrument) [PDF] | (Includes some Korean texts.)

 

45. Islamic Civilisation Primer Series [PDF] | (Includes some Arabic texts.)

 

46. The Microtones of Bharata’s Natyashastra [PDF]

 

47. The Relentless Pursuit of Tone: Timbre in Popular Music [PDF]

 

48. Müzikte Yeni Doğuşkan Arayişi Konusunda El-Jurjani’nin 1,000 Yillik İşaret İşleme Probleminin Nihayi Çözümü [PDF]
(1) The author acknowledges the existence of Max F. Meyer’s original tonality diamond, published in 1929.

 

49. El-Kindî’nin Ud Perde Değerlerinin Gitara Uygulanmasi Ve Enis Gümüş’ün “El-Kindî” Eserinin Analizi [PDF]

 

50. Experimenting with woodwind instruments [PDF]

 

51. Síntesis de Sonido Digital de un Instrumento de Viento Usando el Método de la Transformación del Funcional [PDF]

 

52. Foundations In Music Psychology: Theory and Research [PDF]

 

53. Η Εξέλιξη των Μουσικών Συστημάτων: Μια Διδακτική Ιστορικο–Μαθηματική Προσέγγιση σε Μαθητές της Γ΄ Γυμνασίου του Μουσικού Σχολείου [PDF]

 

54. Microtonality and the Struggle for Fretlessness in the Digital Age [PDF]

 

55. Workshop Pembuatan Instrumen Dan Penyusunan Musik Bambuuntuk Peserta “Festival Swara Deling 2015” Di Surakarta [PDF]

 

56. Avanti Dilettanti– Lasst das Cello ertönen! [PDF]

 

57. تاريخ علوم الموسيقى عند العرب وعند العجم [PDF]
The History of Music Sciences Among Arabs and the Persians
[PDF]
English machine translation site.

 

58. Music as Biology [PDF]

 

59. Neoplatonism and Musical Structure in the ʿAbbāsid Caliphate, Baghdad 750 – 1000 CE [PDF]
See Musical Mathematics, p. 639, Figure 11.48.

 

60. Musik Tiup Barat (Brass Band) Dalam Sajian Gending Gati [PDF]

 

61. エンハルモニウムに適用された音律 ─ 田中正平の「純正調」を読み解く [PDF]

 

62. Playing with Tuning in bitKlavier [PDF]

 

63. Ratiology and a Complementary Class of Metrics for Cardiovascular Investigations [PDF]

 

64. Tuning effect of flute tone hole cavities [PDF]

 

65. The M (Maqam/Makam – Mode) App [PDF]

 

66. Müzikte Sihirli Sayılar – 5, 2 ve 3’ün komşu tellerdeki akrabaları [PDF]

 

67. Surprising Connections in Extended Just Intonation: Investigations and reflections on tonal change [PDF]
(2) The author acknowledges the existence of Max F. Meyer’s original tonality diamond, published in 1929.

 

68. Tackling Cultural Biases [PDF]
See Musical Mathematics, p. 639, Figure 11.48.

 

69. Large String Array [PDF]

 

70. VI. Uluslararasi Hisarli Ahmet Sempozyumu [PDF]

 

71. 플루트에서 제대로 소리가 나고 있으신지요?
Is the Flute Sounding Properly? [PDF]

 

72. Music Theorism in the Ancient World [PDF]

 

73. Scaling, Mirror Symmetries and Musical Consonances Among the Distances of the Planets of the Solar System [PDF]

 

74. The webpage, https://isartum.net/leimma, includes eight tuning systems translated and analyzed in Musical Mathematics. [PDF]
Regarding the three Greek genera, Musical Mathematics, p. 292, Figure 10.3, illustrates the distributions of tetrachords and tones in the context of Euclid’s Greater Perfect System. And p. 664, Figure 11.58, shows these distributions in the context of Al-Farabi’s Perfect Invariable Disjunct System.

 

75. Constraints on hydraulic properties from free pressure oscillations recorded during pumping operations in boreholes [PDF]

 

76. Reply to Goffinet: In consonance, old ideas die hard [PDF]

 

77. Five Companies Crushing It With PCT Mathcad [PDF]
On p. 2, the author describes a user-defined unit of mass. In the context of designing and building unique — non-mass-produced acoustic instruments in the United States, Musical Mathematics, Chapter 1, discusses this subject in full detail.

 

78. Flauta travesera y manipulación de ondas [PDF]

 

79. Kinetic Musical Sculpture [PDF]
See Musical Mathematics, pp. 788–790, 845, 857. Also, see Chrysalis I and Chrysalis II.

 

80. Análisis del Desarrollo de Proyectos de Aula Utilizando el Software Mathcad [PDF]

 

81. Penerapan Jangkah Laras Pelog Terhadap Klonthong [PDF]

 

82. Implementation of Rasa and Bhava as Mentioned in Bharatmuni’s Natyashastra in One of the Classical Dance Forms “Kathakali” [PDF]

 

83. Plain String Calculations [PDF]
See Musical Mathematics, Chapter 2.

 

84. Relative Intonation: Non-Symmetrical Implications of Linear and Logarithmic Intervallic Measurement [PDF]
(3) The author acknowledges the existence of Max F. Meyer’s original tonality diamond, published in 1929.

 

85. LabVIEW Simulation of a Flute Wind Musical Instrument [PDF]

 

86. Critical Edition of Samgitasara: An Unpublished Work on Indian Music [PDF]

 

87. Možnosti aplikace matematických znalostí v kontextu praktického provozování hudby [PDF]

 

88. Modeling and Measuring of the Oriental Musical Scale [PDF]

 

89. Holographic Composition Technique: Revisiting the Medieval Treatises on Iranian Music [PDF]

 

90. No Citations: Three Plagiarists of ‘Ambisonance’ at Xenharmonic Wiki [PDF]

 

91. Analogion Forums: “Musical Mathematics” by Cristiano M.L. Forster [PDF]

 

92. Microtonal Guitar Method Vol. I [PDF]

 

93. Физика и Aнатомия Mузыки [PDF]

The Chrysalis Foundation