编辑“︁16:20:25/(225/224)”︁

'''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。

在[[7限中全律|2.3.5.7/(81/80,225/224)]]下


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.

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.

The three 9-odd-limit marvel triads are

The aforementioned marvel augmented triad;
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.