> tutorial by Great Guru Baxandall
> In dem days, mike input transformers were (relatively) even more expensive
> Actually he DOES recommend input transformers in...
Context:
In dem days, mike transformers were often IN the microphone. Your mixer had naked-grid inputs (possibly with jumpered sockets for optional MTs). It was generally cheaper to buy mikes with transformers one-by-one than to load-up the mixer with more transformers than you needed just yet. (There was also some fad for crystal mikes which work well direct to naked-grid.)
I believe Baxandall was assuming a Hi/Lo-Z microphone on Hi-Z.
Background: the impedance of a long microphone line should be 50-500 Ohms. Lower gets copper-loss. Higher gets high-cut and induced buzz. The naked mike likes to be 0.1 Ohms (ribbon) or 10 Ohms (dynamic). So to some degree, there had to be a transformer at the mike, to couple 0.1-10r to a hundred Ohm line. (Later dynamics were wound directly to 200 Ohms, no transformer, but the SM58 comes from a line of hi/lo-Z models and retains a 10 Ohm coil with a transformer.)
"Short" lines can be run at higher Z. If the mayor gives a speech, and you set up just off stage, and you don't want to hear anything over 3KC out of his mouth, 25 or 50 feet at 10K-20K source impedance is fine. In tape recording they sometimes put the recorder on the stage apron, 10' cords. Hi-Z mikes were widely used for decades.
The source impedance of dynamic and ribbon is nearly the (transformed) capsule impedance. On low-Z we expect 200 Ohms. Ideally the mike amp has an OSI near here.
The OSI of a tube is "super high". It has Noise Voltage, but the Noise Current is essentially too small to matter for audio involving lines and transformers. (Matters in the condenser head.) But take the Noise Voltage as an equivalent resistance and call that a OSI.
In a triode this may be 2,000 Ohms, 500 Ohms for heroic cases, though at low current perhaps 3,000 or more. (And we want low current because B+ ripple is a different kind of "noise" and B+ filtering is expensive, but less-so if the current is small.)
In a pentode part of the precious signal from grid-cathode action is diverted to Screen. Rather more than you might expect. The OSI is liable to be 10K-20K.
When OSI matches we have a 3dB Noise Figure. Good, not the best, but very close.
So 150r mike, triode of 3K OSI, we want at least 1:4.5 transformer ratio.
150r mike, pentode of 20K OSI, we want at least 1:11.5 transformer ratio.
So we often like a high ratio for best hiss.
As the step-up and secondary impedance rises, we lose bandwidth (and also must use hyper-fine wire which is a costly pain). A 600:600 transformer can be VERY flat over a wide range. A 200r:45K (1:15) transformer has to be very carefully partitioned and very gently loaded to beat 15KHz.
So we often like a low ratio for best highs per buck.
1:15 was used in a fair number of PA and broadcast consoles.
1:7 is more likely to give wide-range response at a fair price.
Don't focus on one number. Is it intended to be wide-band? Is it convenient to mount? Is it well shielded? We see many preamps here where the highest "noise" component is power transformer hum, making hiss-noise somewhat moot.