Item Infomation
Title: |
Geometric Construction of Pythagorean and Just Musical Scales and Commas |
Authors: |
Børre, Nyhoff Alv I., Aarskog Sverre, Holm |
Issue Date: |
2023 |
Publisher: |
Springer |
Abstract: |
To your average pianist, G-sharp and A-flat are the same. They are located at the same black key between the white G and A keys, but with different names. For other musicians, however, for example violinists, they are different notes. They would claim that the piano represents a compromise, since it is often tuned to the equal-tempered scale, while other musical scales, based on simple harmonic ratios, often appear more harmonious to the ear. This article explains and illustrates this dilemma geometrically. In these scales, G-sharp and A-flat will no longer be the same. The difference between them is called the Pythagorean comma, and the name hints at the long history of music theory. |
Description: |
CC BY |
Gov't Doc #: |
https://link.springer.com/article/10.1007/s00283-022-10260-4 |
URI: |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7641 |
Appears in Collections |
OER - Khoa học Tự nhiên |
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