# Gen-Ambitus-Series Question

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After a short break, I'm slowly coming back to Opusmodus, mainly by working through functions examples. Looking at the gen-ambitus-series

function example below, would someone be willing to explain why the ambitus function is not producing all diatonic pitches included in list_? I understand that I may want to use harmonic-path or similar instead, but I just wanted to ask for the learning experience. I feel like I might be missing something so I welcome the feedback!

```(setf range_ (gen-ambitus-series '(-10 30)
(vector-smooth 0.2 (gen-white-noise 6 :seed 23))
(vector-smooth 0.2 (gen-white-noise 8 :seed 24))))

(integer-to-pitch range_)

(setf list_ '((c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
(c4 d4 e4 f4 g4 a4 b4 c5)
))

(ambitus range_ list_)```

Perhaps a different example may illustrate my question better. Below we have a series of transformation of the given harmonic sequence. The pitches (pitch classes) of the harmonic sequence are retained with each individual ambitus transformation, but not when gen-ambitus-series is used (see below). Thanks!

```(setf omn
'((h e4f5 p c5a4) (h b3d3 gs4eb2fs3) (h bb2g5cs5 gs4d4eb2)
(w bb2 mp) (h g3f4cs5 p c5) (h fs5a5b3 e4b3) (h bb2)
(w e2eb4) (h c5cs6 a5) (h f4g3 gs4d3) (h fs5 bb2fs5g3)
(h d3e5eb4 gs4) (h a2c6 f2) (h b0 cs6c5) (h gs4d3)))

(ambitus '(-6 12) omn)

(setf range
(gen-ambitus-series
'(-30 42)
(vector-smooth 0.2 (gen-white-noise 15 :seed 23))
(vector-smooth 0.2 (gen-white-noise 15 :seed 24))))

(ambitus range omn)```

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Where is the problem. Which list.

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Many thanks for the reply.  The issue in question is applicable to both examples. However, looking at the second example only (copied below) that features a transformation of the given harmonic sequence (omn),  the pitches (pitch classes) of the harmonic sequence are retained when ambitus function is applied, but not when gen-ambitus-series is used. I wanted to ask why is that the case, namely why the original pitches are not preserved when gen-ambitus-series is used.

Thank you!

(setf omn '((h e4f5 p c5a4) (h b3d3 gs4eb2fs3) (h bb2g5cs5 gs4d4eb2) (w bb2 mp) (h g3f4cs5 p c5) (h fs5a5b3 e4b3) (h bb2) (w e2eb4) (h c5cs6 a5) (h f4g3 gs4d3) (h fs5 bb2fs5g3) (h d3e5eb4 gs4) (h a2c6 f2) (h b0 cs6c5) (h gs4d3))) (ambitus '(-6 12) omn) (setf range (gen-ambitus-series '(-30 42) (vector-smooth 0.2 (gen-white-noise 15 :seed 23)) (vector-smooth 0.2 (gen-white-noise 15 :seed 24)))) (ambitus range omn)

```(setf omn
'((h e4f5 p c5a4) (h b3d3 gs4eb2fs3) (h bb2g5cs5 gs4d4eb2)
(w bb2 mp) (h g3f4cs5 p c5) (h fs5a5b3 e4b3) (h bb2)
(w e2eb4) (h c5cs6 a5) (h f4g3 gs4d3) (h fs5 bb2fs5g3)
(h d3e5eb4 gs4) (h a2c6 f2) (h b0 cs6c5) (h gs4d3)))

(ambitus '(-6 12) omn)

(setf range
(gen-ambitus-series
'(-30 42)
(vector-smooth 0.2 (gen-white-noise 15 :seed 23))
(vector-smooth 0.2 (gen-white-noise 15 :seed 24))))

(ambitus range omn)```

I attached music notation examples in support of my question. The "original" refers to the given omn list, "ambitus" preserves all pitch classes from the original, and "gen-am original.pdfbitus-series" example modifies some of the pitch classes. Thank you once again!

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```(ambitus '(16 26) '(d3e5eb4 gs4))
=> (h d6e5a5 gs5)```
```(ambitus '(16 26) '(eb4))
=> (a5)

(pitch-to-integer '(eb4))
=> (3)

(pitch-to-integer (pitch-transpose 12 '(eb4)))
=> (15)

(pitch-to-integer (pitch-transpose 24 '(eb4)))
=> (27)```

There is no Eb the range between 16 and 26

```(integer-to-pitch (gen-integer 16 26))
=> (e5 f5 fs5 g5 gs5 a5 bb5 b5 c6 cs6 d6)```
```(integer-to-pitch (rational-ambitus 16 26 3))
=> a5```

If the range interval is smaller the 12 and the pitch is not part of the range then rational-ambitus function is applied.

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Thanks so much for the clarification! It all makes sense now. Very versatile set of functions!

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