> wiring the 12AX7's in series with 12v
quote "Heaters which are normally designed to be run in parallel can be run in series.... if one end of the (AC) heater chain is to be grounded then......
You are confusing two situations.
You have a 12V transformer.
You have tubes which can eat 12V (or 6V, but that's moot here).
You will wire all the 12V tubes and the 12V transformer all in *parallel*.
We do not really care that *inside* the tube we really have two 6V heaters in series.
Merlin (and I agree that he knows so much he sometimes gets ahead of less experienced readers) is talking about "series-string heaters", a concept we mostly do NOT see in classic amplifiers. (However it is common on some newer jobs.)
Heaters have to be robust, so they must be short and fat, which means low voltage and high current. However we have this handy 110V wall outlet! And we have a lot of tubes. Can't we wire the heaters in series to make-up a high-voltage load? Say nine 12.6V heaters in series.... that's about 110V-117V. Yes, that will work, if they are all the same current. More likely we have some bigger tubes, the rectifier and power tube. These can be built with high-voltage same-current heaters. A radio may use a 35V rect, a 50V power tube, and 12V 12V 12V for 1st-audio, IF, and converter. 121V!
In this case the most hum-sensitive tube (1st-audio) should be on the groundy end of the string, the rectifier on the top, and probably the power bottle just below the rect heater.
However this SHOULD not interest us, because a guitar-amp without a power transformer is *deadly*. (Not so much for radio or TV, where the user *never* has to hold-on to the circuit, the way you hold the ground of the guitar-jack.)
You could use a 36V transformer to power three 12AX7 in series, but why? (I can contrive some found-parts situations, but that's getting desperate.)
A somewhat different case: amp on PCB and DC heater power. They go together. PCB construction does not favor the twisted-lead wiring that makes AC heat tolerable. DC supplies are now fairly cheap. However not dirt-cheap. And also DC supplies have losses which are about a Volt for each diode. If you aim for 6V, but need 8V to cover diode losses, there is 33% waste. Adds cost and heat. If you wire three 12AX7 at 12V each for 36V, you need 38V, only 5.5% loss, 1/6th the heat and lower cost. Also series-wiring is easier to sneak through the PCB puzzle. However, being presumably very-clean DC, Merlin's note about *AC* series-string radios and TVs does not apply.