Anyone build a bigger la scala with/for the 15pr400

[Bas Horneman]

I want to build a bass horn a la scala. But with the 15pr400 like Volti audio.

It (15pr400) mostly needs a bigger doghouse. So I was thinking 20 percent bigger la scala all round. Perhaps also with a bass reflex mod as well. As is now 'standard' on the AL6 model.

I guess I have to learn to use hornresp?

 

[Bas Horneman]

Alright — let’s calculate the new horn mouth area, throat area, and cutoff frequency when scaling up the La Scala by 20%.

📐 1. Assumptions about the original La Scala​

• Horn path length ≈ 2.6 m (102″)
• Mouth area ≈ 0.4 m² (4.3 ft² ≈ 24″×24″)
• Throat area ≈ 0.02 m² (about 3 in²)
• Cutoff frequency ≈ 104 Hz (theoretical)
  (This is derived from the mouth area.)

We scale everything by a factor of:

s = 1.20

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📐 2. New horn path length​

Already calculated:

2.6 \, m \times 1.20 = 3.12 \, m

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📐 3. New mouth area​

Area scales with the square of the linear scale:

A_\text{new} = A_\text{original} \times s^2

So:

0.4 \, m² \times (1.20)^2 ≈ 0.4 \times 1.44 ≈ 0.576 m²

≈ 0.576 m² ≈ 6.2 ft²
That’s about 30″ × 30″.

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📐 4. New throat area​

Similarly:

0.02 \, m² \times (1.20)^2 ≈ 0.0288 m²

≈ 0.0288 m² ≈ 44.7 cm² ≈ 6.9 in²

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📐 5. New cutoff frequency​

Horn cutoff frequency depends inversely on the mouth size.
The approximate formula is:

f_c ≈ \frac{c}{2\pi} \sqrt{\frac{\pi}{A_\text{mouth}}}

where (speed of sound).
If you scale the mouth area by , the cutoff scales as:

f_{c,\text{new}} = \frac{f_c}{s}

So:

104 Hz / 1.20 ≈ 87 Hz

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📋 Final Results:​

Parameter	Original	Scaled ×1.2
Horn path length	2.6 m (102″)	3.12 m (122.4″)
Mouth area	0.4 m²	0.576 m² (6.2 ft²)
Throat area	0.02 m²	0.0288 m²
Cutoff frequency	~104 Hz	~87 Hz

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✅ After scaling up the La Scala by 20%, you get:

• ~22″ longer path
• ~44% larger mouth and throat areas
• ~17 Hz lower cutoff frequency (~87 Hz instead of ~104 Hz)

If you’d like, I can also help you draft a table of new dimensions (height, width, depth) or even draw a scaled plan. Let me know!
ChatGPT...

 

[Bas Horneman]

 

[phase_accurate]

How in all the world do you come to a horn path length of 2.6m in a La Scala ?
It is much less than half of that actually.
If this were correct the following would happen:
2.6m combined with your throat and mouth area would give a horn-constant based cutoff frequency of 31 Hz for the original and 27 Hz for the enlarged one. Since the throat area would be much too small for that the frequency response would be very irrgular.

But since your path lengts are way off this will not happen that way.

Regards

Charles

 

[Bas Horneman]

Chatgpt came up with those number...it summed left and right. So I asked it and now says it's around 1.70cm

 

[pelanj]

Peavey FH-1 is very similar to what you need.

 

[Azrael]

I strongly recommend that you only use AI for topics that you know enough about so that you can check for yourself whether what the AI claims is true. AIs are otherwise all kinds of things, but they are not reliable sources of information.

 

[Bas Horneman]

True. And I'm aware of that. I catch many mistakes. But last night I thought I'd just throw it in the forum. I do think it is useful still...despite the mistakes it often makes.