You seem to be describing two difference scenarios, but I can try to explain both and then it may become clearer to you.
I-ii-V-i... Once we land on the i chord, we find what scale uses the notes in the i chord as a ii chord and then play the same functions in the progression in the new scale.
First, it's better to refer to a key or mode rather than a scale. Also, you really should indicate key or mode when giving Roman numerals, especially when asking about modulation.
So, assuming we are talking about major/minor keys let's start on C
. C: I ii V i
shows the tonic chord changes from major I
(C
major) to minor i
(C
minor.) That's a change in mode rather than key.
The simplest way to play the same chord functions in the minor mode are: Cm: i iio V i
. In addition to the change of the tonic chord to minor, the ii
chord becomes diminished iio
and the V
chord stays the same (a major triad.)
It might help to name the chords, like C Dm D C
changes to Cm Ddim G Cm
.
The second scenario is changing from C
to A#
. I assume you mean both keys are major. It's much more sensible to call the second key Bb
(A#
major or minor are odd key signatures, you normally use Bb
major or Bb
minor.)
So, that's C: I ii V I
to Bb: I ii V I
with chord names C Dm G C
to Bb Cm F Bb
.
How do you use these ideas?
For the first scenario, the change of mode, I think you understand. A common use is to darken the mood. You could repeat a phrase and switch from major to minor for the second iteration. Or you could start up a totally new section in the minor. You can play with the endings a bit to emphasize the surprise of the change. Instead of I ii V I
try I ii V V
hold the V
then make the mode change i iio V i
.
The second scenario, the modulation, presents a problem using your example I ii V I
progression. I may have misunderstood you, but I think you mean to repeat the progression transposed to another key. That process is more like a harmonic sequence. It's tricky to describe the distinction briefly, because there are similarities between the two, and a harmonic sequence can be used as the means to modulate.
A harmonic sequence is when a chord progression is repeated but transposed up or down. It's common to use only a two chord progression in sequence. Sequences can be diatonic C: [ I6 IV ][ viio6 iii ]
or chromatic C: [ I6 IV ][ V6/V V ]
. I used brackets to show the sequenced (transposed) pairs of chords. I think you can see why just transposing a progression to another key is like a harmonic sequence.
So, transposing C: I ii V I
to Bb: I ii V I
is like a sequence. But, you might ask if a modulation is a change of key, and that transposition goes to a new key, why isn't it a modulation?
I suppose you could call it some kind of direct modulation, but it's more common to have some common chord between the two keys. More importantly the I
chord doesn't normally start the modulating phrase. Think of it like modulating to a new tonic.
For an example let's start in C
and modulate to Bb
. A common chord between the two keys is F
major. We will have two phrases. The second one will end on a Bb
chord, but not start with it. | C: I ii V I | Bb: V6/V V6/IV I64 V7 I |
with names | C Dm G C | C/E F Bb/D Eb Bb/F F7 Bb |
It's easier with notation.
The first 2 bar of the modulating sequence could be interpreted in C
or Bb
. That's typical of the common chord area of a modulation.
Modulating down a whole step from major isn't really common in classical style, but I wanted to keep with your example.
Jazz does something like A: ii V I I | G: ii V I I | F: ii V I I
(Bm7 E7 Amaj7 | Am7 D7 Gmaj7 | Gm7 C7 Fmaj7...
) but it's just another application of the modulating by sequence principle: don't start with I
, repeat the pattern sequentially, end with a cadence in the new key.