Introduction to interval transposition, how to transpose intervals

**Term. Degree change after interval transposition: When the interval is transposed, the sum of the degrees of the original interval and the transposition interval is "nine".

The transposition formula is: "9 in-situ intervals = transposed intervals". For example, the sum of the minor third and the increase of the sixth degree is nine; The sum of the pure fourth and the pure fifth is nine.

That is: one degree turns into an octave – an octave turns into one degree.

Second to seventh – Seven to second.

Third to Sixth – Six to Three.

Fourth to fifth – fifth to fourth.

Change in properties after transposition: When an interval is transposed, it is essentially the same as the nature of the original interval.

Natural interval transposition is still natural interval;

After the transposition of the changed interval, it is still the inflected interval;

Consonant intervals remain consonant intervals after transposition;

Dissonant intervals remain dissonant intervals after transposition;

After the transposition of a single interval, it can be either a single interval or a polyphonic interval;

The polyphonic interval can be either a single interval or a polyphonic interval after transposing.

The reversal of the crown and root notes of an interval is called interval transposition. The interval before the transposition is called the in-situ interval, and the interval after the transposition is called the transposition interval. The method of interval transposition is as follows:

It can be transposed within one octave or in a range of more than an octave or several octaves. You can move either the root or crown during transposition, or you can move the root and crown at the same time.

Intervals are not static, and we need to be familiar with their classic styles, but also know what changes they can make, with transposition and scaling being common variations.

1. Interval transposition.

When introducing the concept of intervals, we mentioned the upper and lower notes, the former being the higher tone, and the latter being the lower tone.

Transposition is to switch the positions of these two notes according to certain rules.

After the transposition of one degree interval is called an octave note, the interval before transposition is called the original interval, and the interval after transposition is the transposition interval, and the sum of the two degrees should be nine.

So, the second interval is transposed to be seventh, the third is sixth, and the fourth is fifth.

It can be found that, except for pure intervals, other intervals can be transposed into opposite intervals: increase and decrease, decrease and increase, large to small, small to large.

2. Expansion and contraction.

1.The interval is enlarged.

If we want to increase the number of notes without changing the progression of the intervals, we can do so with some diacritics.

The interval can be enlarged by lowering the lower note, and in the image above, adding a rising note to the upper note of the minor third becomes a major third.

Lowering the lower note can also widen the intervals, as shown in the image above.

2.The intervals are reduced.

This is the opposite of interval enlargement, and there are two ways to do this: lowering the upper note and raising the lower tone.

Take this major third interval as an example, and lower the upper note to become a minor third like the one below

If you raise the lower note, then it becomes a minor third like this:

They vary in form, but the result is the same.

3.About the exercises.

There may not be a dedicated section for interval transposition and variation in the earmaster, but don't worry, these will be designed in other interval exercises, especially the expansion and contraction of intervals, which can vary far more than what we have mentioned here.

For example, in this interval, it uses two diacritics, one is a rising mark, which raises the upper note by a whole tone, and the other is a rising mark, which raises the lower note by a semitone, and the whole interval is raised by one semitone on the basis of the original interval, becoming a diminished fifth interval.

3. Summary. There are many variations in the interval, and we need to memorize these changes so that we can know what to expect when sight-singing.

<> polyphonic intervals. After transposition, it can be either monophonic or polyphonic.

Degree change after interval transposition: When the interval is transposed, the sum of the degrees of the original interval and the transposition interval is "nine".

The transposition formula is: "9 in-situ interval matching = transposition interval". For example, the sum of the minor third and the increase of the sixth degree is nine; The sum of the pure fourth and the pure fifth is nine.

That is: one degree turns into an octave – an octave turns into one degree.

The second degree is turned into the seventh degree, and the seventh degree of loss is changed to the second degree.

Third to Sixth – Six to Three.

The fourth degree is turned into the fifth degree, and the fifth degree is turned into the fourth degree.

IntervalsIt is correct that the number of tones is different after transposing.

You can't fill in the answers such as "structure", "degree orange loss", "number of sounds", "name", etc., because for example, a pure octave may still be a pure octave after being transposed. If it is limited to the case of a single interval transposition to a single interval, you can fill in the three answers "structure", "degree", and "name", but you cannot fill in "number of tones", because for example, after increasing the fourth degree transpose, it will decrease the fifth degree, and the number of notes will not change.

**Term. The degree change after the transposition of the inflection of the interval: when the interval, the sum of the degrees of the in-situ interval and the transposition interval is "nine". The transposition formula is:

9 In-situ intervals = transposition intervals". For example, the sum of the minor third and the increase of the sixth degree is nine; The sum of the pure four and the pure fifth is nine.

One degree turns into an octave: An octave turns into one degree.

Second to seventh – Seven to second.

Third to Sixth – Six to Three.

Fourth to fifth – fifth to fourth.

The polyphonic interval can be either a single interval or a polyphonic interval after transposing.

Degree change after interval transposition: When the interval is transposed, the sum of the degrees of the original interval and the transposition interval is "nine". The transposition formula is:

9 In-situ intervals = transposition intervals". For example, the sum of the minor third and the increase of the sixth degree is nine; The sum of the pure fourth and the pure fifth is nine. Namely:

One degree turns into an octave: An octave turns into one degree.

The second degree turns into the seventh degree - the seventh degree turns into the second degree.

Third to Sixth – Six to Three.

Fourth to fifth – fifth to fourth.

After the transposition of a single interval, only two intervals of increasing by fourth and subtracting by fifth do not change. We know that the number of the two intervals, the increase of the fourth and the decrease of the fifth, is 3, they are equal to each other, and when the interval is transposed, the number of notes is always 3 (unchanged).

Interval: In the musical system, the relationship between two musical scales in pitch is called interval. Simply put, it is the relationship between the high and low of two tones, or the distance between tones, in degrees.

The basic elements of intervals are as follows:

Root sound and crown code file sound: In the interval, the upper sound is called the crown tone, just like the crown of a tree; The lower note is called the root sound. When identifying an interval, you only need to look at the distance between the root note and the crown note to determine the interval.

Degrees and notes: The name of an interval is determined by its structure, and different interval structures constitute different interval names. The name of an interval is made up of two parts: the degree and the number of notes.

Degrees: Degrees are the number of scales from the root to the crown (i.e., the number of lines on the staff). Every line and every interval on the staff is one degree.

When two tones are in the same line, or in the same room, the interval relationship between the two tones is called "one degree", or: "the same degree".

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After the transposition of a single interval, the number of notes does not change, and the interval increases by four degrees and decreases by five degrees. Related information: The number of notes in the two intervals of increasing the fourth and subtracting the fifth is 3, and they are equal to each other, and when the interval is transposed, the number of tones is always 3 (unchanged).

For example, the inversion of c-sharp f (increasing fourth early) is f-c (minus fifth), and both intervals have a number of 3 <>