Module VII
What the thumb trigger really does to the slide: every position measured in centimetres, side by side, and when to use it.
the short answer
Pressing the trigger makes the whole horn 33.5% longer — a perfect fourth lower — so every slide position moves 33.5% further out. Only six fit on the slide.
Top row: the seven ordinary B♭ positions. Bottom row, in green: the trigger positions T1–T7, measured with the same formula, and (small numbers) where each one lands in B♭ positions. T7 — low B — would need 75.7 cm of slide, past the end.
try it: one slide, two horns
thumb trigger down · slide at 0.0 cm — where B♭ position 1.0 would be
T1
Slide 0.0 cm out from closed — 1st position (1.00 in B♭ positions).
the notes this slide spot gives you
the exact comparison
| Slot | B♭ side: slide out | B♭ side notes (h2 · h3 · h4) | Trigger: slide out | Lines up with | Trigger notes (h2 · h3 · h4) |
|---|---|---|---|---|---|
| 1 | 0.0 cm | B♭ · F · B♭ | 0.0 cm | 1.0 — 1st position | T1: F · C · F |
| 2 | 8.1 cm | A · E · A | 10.9 cm | 2.3 — between 2nd and 3rd | T2: E · B · E |
| 3 | 16.8 cm | A♭ · E♭ · A♭ | 22.4 cm | 3.6 — between 3rd and 4th | T3: E♭ · B♭ · E♭ |
| 4 | 25.9 cm | G · D · G | 34.6 cm | 4.9 — a short 5th | T4: D · A · D |
| 5 | 35.6 cm | G♭ · D♭ · G♭ | 47.5 cm | 6.2 — a long 6th | T5: D♭ · A♭ · D♭ |
| 6 | 45.9 cm | F · C · F | 61.2 cm | 7.4 — past 7th — the very end of the slide | T6: C · G · C |
| 7 | 56.7 cm | E · B · E | 75.7 cm | 8.6 — off the end of the slide | T7: B · G♭ · B |
Measured for an effective B♭ air column of 2.74 m. Real horns differ by a centimetre or so — every slide is tuned by ear — but the pattern is fixed by physics: the trigger gaps are always 1.335 times the B♭ gaps.
same note, with and without the trigger
Without: 6 (45.9 cm)
With trigger: T1 (0.0 cm · 1st position)
saves 45.9 cm of reach
Without: 7 (56.7 cm)
With trigger: T2 (10.9 cm · between 2nd and 3rd)
saves 45.9 cm of reach
Without: 6 (45.9 cm)
With trigger: T1 (0.0 cm · 1st position)
saves 45.9 cm of reach
Without: 7 (56.7 cm)
With trigger: T2 (10.9 cm · between 2nd and 3rd)
saves 45.9 cm of reach
Without: not on a straight tenor
With trigger: T3 (22.4 cm · between 3rd and 4th)
Without: not on a straight tenor
With trigger: T4 (34.6 cm · a short 5th)
Without: not on a straight tenor
With trigger: T5 (47.5 cm · a long 6th)
Without: not on a straight tenor
With trigger: T6 (61.2 cm · past 7th — the very end of the slide)
Without: not on a straight tenor
With trigger: off the end of the slide
when players use the trigger
the catches
why the trigger positions are further apart — the maths
1 · A fourth lower
B♭ down to F is five semitones. Pitch falls by 21/12 per semitone, so the tube must grow by 25/12 = 1.3348 — almost exactly 4 ÷ 3 = 1.3333. The rotor switches in 0.92 m of extra tubing.
2 · Same semitone, longer tube
One semitone lower always means the whole tube × 1.0595. A longer tube needs a longer piece added: on the F side every gap is 1.335 × the B♭ gap. 1st→2nd: 8.1 cm vs 10.9 cm.
3 · Six fit, seven don’t
B♭ 7th is 56.7 cm out. × 1.335 = 75.7 cm for T7. The slide runs out near 64 cm, so T6 (61.2 cm) is the last trigger position that exists.