|
|
| （未显示同一用户的2个中间版本） |
| 第1行： |
第1行： |
| '''15间增三和弦'''是一个[[15间律]]下的本质调和和弦。在密集排列下，根音与中音，中音与冠音的距离均为大小约[[5/4]]的三度，根音与冠音的距离的距离约为[[14/9]]，因为这个和弦要求调和15间差。 | | '''15间增三和弦'''是一个[[15间律|2.3.5.7/(225/224)]]下的本质调和和弦。它的频率比为1/1-5/4-25/16. |
|
| |
|
| 在[[7限中全律|2.3.5.7/(81/80,225/224)]]下
| | 在密集排列下，根音与第二音，第二音与冠音的距离约为[[5/4]]，根音与冠音的距离的距离约为[[14/9]]，因为这个和弦要求调和15[[间差]]。 |
|
| |
|
| | 在[[2.3.5.7/(81/80,225/224)|7限中全律]]下，这个和弦等价于传统的增三和弦。 |
|
| |
|
| In meantone this triad consists of two major thirds and a diminished fourth, the classic augmented triad of the meantone era. It can also be described as a marvel-tempered version of a 1–5/4–14/9 chord.
| | 为了使得7限效果更强，可以在根音下方加入一个频率为2/3的音，也就是2/3-1/1-5/4-25/16. 这样，最低音与最高音的频率比是[[7/3]]，这是比14/9更简单的音程。 |
|
| |
|
| The 9-odd-limit marvel chords are of pattern 1b, meaning that there are 3 triads, 6 tetrads and 2 pentads, for a total of 11 distinct chord structures. In this article, voicing with the perfect fifth is prioritized.
| | == 另见 == |
|
| |
|
| The three 9-odd-limit marvel triads are
| | [[16:20:25]] |
|
| |
|
| The aforementioned marvel augmented triad;
| | [[16:20:25/(128/125)]] |
| 1–5/4–7/5 with steps 5/4, 9/8, 10/7, and its inverse
| |
| 1–9/8–7/5 with steps 9/8, 5/4, 10/7.
| |
| marvel.jpg
| |
| Marvel triad
| |
| The six 9-odd-limit marvel tetrads are
| |
| | |
| 1–5/4–7/5–7/4 with steps 5/4, 9/8, 5/4, 8/7;
| |
| 1–9/8–5/4–7/5 with steps 9/8, 10/9, 9/8, 10/7;
| |
| 1–5/4–7/5–14/9 with steps 5/4, 9/8, 10/9, 9/7, and its inverse
| |
| 1–9/8–7/5–9/5 with steps 9/8, 5/4, 9/7, 10/9;
| |
| 1–9/8–7/5–7/4 with steps 9/8, 5/4, 5/4, 8/7, and its inverse
| |
| 1–5/4–7/5–8/5 with steps 5/4, 9/8, 8/7, 5/4.
| |
| The last four tetrads contain the marvel augmented triad.
| |
| | |
| The two 9-odd-limit marvel pentads are:
| |
| | |
| 1–9/8–5/4–7/5–7/4 with steps 9/8, 10/9, 9/8, 5/4, 8/7, and its inverse
| |
| 1–9/8–5/4–7/5–8/5 with steps 9/8, 10/9, 9/8, 8/7, 5/4.
| |
| If we allow the 15-odd-limit, there are many more possibilities. One notable 15-odd-limit tetrad is 1–4/3–3/2–15/8 which has as its homonym 1–9/8–7/5–3/2.
| |
| | |
| Equal temperaments with marvel chords include 19, 22, 31, 41, 43, 50, 53, 72, 84, 94, 103, 166 and 197.
| |
15间增三和弦是一个2.3.5.7/(225/224)下的本质调和和弦。它的频率比为1/1-5/4-25/16.
在密集排列下，根音与第二音，第二音与冠音的距离约为5/4，根音与冠音的距离的距离约为14/9，因为这个和弦要求调和15间差。
在7限中全律下，这个和弦等价于传统的增三和弦。
为了使得7限效果更强，可以在根音下方加入一个频率为2/3的音，也就是2/3-1/1-5/4-25/16. 这样，最低音与最高音的频率比是7/3，这是比14/9更简单的音程。
另见
16:20:25
16:20:25/(128/125)