These questions are very basic. As long as you have learned about musical intervals, you should be able to do them. As long as you know what those intervals mean, the answer will come out automatically.
Here, the most important thing is to understand the meaning of the two elements of musical intervals - the number of notes and the degree (these things are available in any version of the book, I don’t know if you understand it, it’s ok if you don’t understand) Ask me again).
The relationship between note number, degree and common intervals within an octave is summarized as follows:
The note number is 0 and the degree is 1, which is a pure degree,
The sound number of 1/2 and the degree of 1 is increased by one degree.
The sound number of 1 and the degree of 1 is doubled by one degree.
The sound number of 0 and the degree of 2 is doubled. The one with the note number 1/2 and the degree 2 is the minor second,
The one with the note number 1 and the degree 2 is the major second.
The sound number is 3/2 and the degree is 2, which is the augmented second degree.
The sound number is 2 and the degree is 2, which is the doubled second degree.
If the note number is 1/2 and the degree is 3, it is a diminished third.
The note number is 1 and the degree is 3 is a diminished third.
The note number is 3 /2. The one with a degree of 3 is a minor third.
The one with a note number of 2 and a degree of 3 is a major third.
The note number of 5/2 and a degree of 3 is a major third. It is an augmented third.
If the note number is 3 and the degree is 3, it is a doubled third degree.
The note number is 3/2 and the degree is 4 is a doubled fourth degree.
The tone number is 2 and the degree is 4, which is the diminished fourth.
The tone number is 5/2 and the degree is 4 is the perfect fourth.
If the note number is 3 and the degree is 4, it is an augmented fourth.
The note number is 7/2 and the degree is 4 is a doubled fourth.
The note number is 5/ 2. If the degree is 5, it is a doubled fifth.
If the tone is 3 and the degree is 5, it is a diminished fifth.
The tone is 7/2 and the degree is 5.
The number of notes is 4 and the degree is 5 is the augmented fifth.
The number of notes is 9/2 and the degree is 5 is the doubled fifth.
If the note number is 3 and the degree is 6, it is a subtracted sixth degree.
If the note number is 7/2 and the degree is 6, it is a subtracted sixth degree.
< p>The minor sixth has a note number of 4 and a degree of 6.The major sixth has a note number of 9/2 and a degree of 6.
The note number is 5 , the one with a degree of 6 is an augmented sixth,
The one with a tone number of 11/2 and a degree of 6 is a doubled sixth,
The one with a tone number of 4 and a degree of 7 is Doubling the seventh degree,
The note number is 9/2 and the degree is 7 is the diminished seventh degree.
The note number is 5 and the degree is 7 is the minor seventh degree.< /p>
The note number is 11/2 and the degree is 7, which is the major seventh.
The note number is 6 and the degree is 7, which is the augmented seventh degree.
The note number is 13/2 and the degree is 7, which is a doubled seventh degree.
The note number is 5 and the degree is 8, which is a doubled octave.
The note number is 11/ 2. The one with a degree of 8 is a diminished octave,
The one with a note number of 6 and a degree of 8 is a pure octave (understand this article in conjunction with the twelve equal temperament),
The number of notes is 13/2 and the degree is 8 is the augmented octave.
The note number is 7 and the degree is 8 is the doubled octave.
According to the above summary, the answer is as follows (note: the inversion here refers to the inversion of a single interval into a single interval, otherwise there are countless kinds of inversion):
(Although you use numbers to express it, it is very inconvenient to express it, and it is not a formal expression method in the field of music, so I use note names to express it)
(Note: In the expression of all intervals below, horizontal bars The pitch of the note on the right is higher than or equal to the pitch of the note on the left)
Pure one degree: C-C (these two Cs are the same C on the piano keyboard). Transposition: C-C (these two Cs are two Cs one octave apart).
Minor second degree: C-D flat. Transposition: D-flat.
Sophomore degree: C-D. Transposition: D-C.
Minor third: C-E flat. Transposition: E-flat.
Major third degree: C-E. Transposition: E-C.
Perfect fourths: C-F. Transposition: F-C.
Augmented fourth degree: C-F sharp. Transposition: F-C sharp.
Minus fifth: C-G flat. Transposition: G-flat.
Perfect fifths: C-G. Transposition: G-C.
Minor 6th: C-A flat. Transposition: A-C flat.
Major Six Degrees: C-A. Transposition: A-C.
Minor 7th: C-B flat. Transposition: B-C flat.
Major seventh degree: C-B. Transposition: B-C.
Pure octave: C-C (these two Cs are two Cs one octave apart). Transposition: C-C (these two Cs are the same C on the piano keyboard).
For the case of transposing a single interval into a single interval, please remember the following rules:
1. A major interval becomes a minor interval after being transposed, and a minor interval becomes after being transposed Big intervals.
2. Augmented intervals become diminished intervals when transposed, and diminished intervals become augmented intervals when transposed.
3. A doubled interval becomes a doubled interval after being transposed, and a doubled interval becomes a doubled interval after being transposed.
4. A pure interval is still a pure interval after transposition.
5. After the interval is transposed, the degree becomes the absolute value of the difference between the original degree and 9 (this is easy to understand, but as long as you think about it, all this refers to the transposition of a single interval into a single interval) situation, it is easy to understand), but there is one exception-the transposition of an increased octave is not a decrease of one degree, but a decrease of an octave (the interval of decrease of one degree does not exist at all).
6. Natural intervals are still natural intervals after transposition, and changed intervals are still changed intervals after transposition.
7. Consonant intervals are still consonant intervals after being transposed, and dissonant intervals are still dissonant intervals after being transposed.
If there is anything you don’t understand, you can ask me again. I can promise you to get this straight to the bottom of your head.