In classical music and in any genre of contemporary music, the tonal elements or notes used for playing are the same. The numerous possibilities of chords for a given instance in a piece make the playing, in general, very intricate, and advanced. The theory sounds quite trivial, yet the application has vast options, each leading to inarguably different outcomes, characterized by scientific and musical principles. Chords and their importance are self-explanatory. A chord is a bunch of notes played together. As far as scientists are concerned, it is a set of tonal frequencies ringing together resulting in a consonant/dissonant sound. It is well-known that the notes of a chord can be rearranged to come up with various voicings (1) of the same chord which enables a composer/player to choose the most optimal one to convey the emotion they wish to convey. Though there are numerous possibilities, it is scientific to think that there is just one appropriate voicing for a particular situation of tonal movements. In this study, we attempt to find the optimal voicings by considering chords to be points in a 3-dimensional cartesian coordinate system and further the fundamental understanding of mathematics in music theory.
翻译:在古典音乐中,古典音乐和当代音乐中,古典音乐、古典元素或笔记中,用于弹奏的调音元素或笔记都是相同的。在一个片段中,一个特定实例的和弦的多种可能性使得播放过程总的来说非常复杂和先进。理论听起来相当微不足道,但应用却有很多选择,每个选择都会导致以科学和音乐原则为特征的不可辨别的不同结果。弦及其重要性是自言自语的。弦及其重要性是一组调音。就科学家而言,这是一组调音调调合在一起的一组调音,产生和谐/调调音的声音。众所周知,弦音音的音调可以重新排列,用各种表达的(1)同音调调音调,使作曲家/玩家能够选择最合适的音调来传达他们想要传达的情感。虽然有许多可能性,但科学上认为,对于某种调音调的特定情况,只有一种适当的调音调。在本研究中,我们试图通过将弦音调的调调调调取出最佳的调调调调调。