**Topics**

Scaling intervals of a sequence of notes by reducing or expanding each interval using arithmetical and serial operators.

**Functions used**

**
CHORD**,

**Description**

This patch makes either an expansion or a compression of the intervals
in a series of notes. The box **x->dx **(B) calculates the
intervals of the sequence of notes (A). Then **om*** (D) changes
these intervals proportionally by multiplying them by a constant
in the t box (C). The result of the multiplication is a new list
of intervals that, once entered in the **dx->x **box (F)
can be used to create a new series of notes.

**Patch structure**

A: Open the **CHORD** box by clicking in the centre of the
box and edit a sequence of notes in the "order" mode.
Then lock it.

B: The **x->dx **box
calculates the intervals between the notes in the sequence (A).
The **x->dx** box calculates the differences between each
pair of notes in the scale defined in (A). If you have the sequence
DO-RE-MI-FA-SOL, the difference between DO and RE will be 200
(two semitones), between RE and MI, 200 (again, two semitones),
and between MI and FA, 100 (one semitone) By doing this you calculate
the intervals between the notes of your sequence.

C: Enter a multiplication factor for the expansion or compression
of the intervals in this input. If you enter a number between
0 and 1 (for example 0.2 0.365 0.99999 etc) the note series will
be compressed. On the contrary, if you enter a number greater
than 1 (for example 2, 2.00001, 10 etc) the series will be expanded.
(A value of 1 will neither compress nor expand the series.)

D: The **om*** box multiplies the intervals coming from the
**x->dx** box by the value entered in (C).

E: The** first **box (E) takes the first note of the **CHORD**
box (A) (remember it will be the first note edited in a **CHORD**
box, and not necesseraly the lowest one). This note will be the
starting note value for the compressed or expanded series.

F: The **dx->x** module makes the new sequence, starting
with the value coming from **first** box (E), and constructed
using the intervals deriving from the **x->dx** box.

G: The **om-round** rounds the values coming out of the **dx->x**
module.

H: Evaluate and open the **CHORD-SEQ** to see the result.