It does matter if the tuner replaced the string with a comparable grade as hfmadopter points out.
Because of this, never discard the broken string. The technician will measure it to ensure a good match. I've heard several stories of people discarding the broken pieces and causing the tech a lot of grief. You'd think they'd be standardized but they differ from note to note and from brand to brand of piano.
The other thing a technician might do is to send all the broken pieces to a string maker, and have a custom string produced to specifically match the broken string.
On the other hand if a student had a temper tantrum and banged fists on the keyboard and a string broke, I'd probably charge the parents.
In terms of the mechanical damage /wear and tear that is done to the piano, is there actually a difference to playing Rachmaninov regularly?
At modern pitch requirement of A440 the strings and wire are pulled to approximately 66% of their tensile strength,
When you tell me 66%, I assume you are being accurate to the digit. We know it will vary, but it will be no less than 65.5 and no greater than 66.5. If you'd said 60%, I would have assumed between 50 and 70.
This premise is nonsense.Apologies for the rant, but it really annoys me when people try to impose artificial rules on others that are totally illogical.
2) You assume the way you do things is not only the way everybody does it, but the only way possible.
I did not invent the idea that the digits describe the level of known precision. This is standard practice, taught explicitly in high school level chemistry and physics classes, but used in the real world every day by carpenters, plumbers, auto mechanics, farmers, etc. I was not lecturing about something new, just leaving a friendly reminder for that which the other poster already knew.
If I say the time is about a quarter past noon, that means something very different from me saying the time is 12:14.07.
At modern pitch requirement of A440 the strings and wire are pulled to approximately 66% of their tensile strength, so if one breaks it is not because of negligent work technique it is because the wire is damaged or has a weak spot. If strings or wire break at 2/3 of its tensile strength then it should not have been in the piano in the first place.
In answering your question about string breakage, let me provide some context. When I talk about the %PBL or percentage of Practical Breaking Load, I am not referring directly to breaking percentage as we usually understand it. The %PBL is actually about 25% less than the breaking percentage. I think that Stephen Paulello came up with this measure, as a way to conservatively scale a piano. . The general protocol for good scaling using %PBL as the primary value is as follows:The stress rate for the core wire in the bass should ideally be between 50 and 55%The stress rate for plain wire should be 50% for first plain wire at the breakto a maximum of 60% at A465% at A570% at A675% at A780% for F8These notes are from Paulello's websiteThat may seem high until you realize that we are talking about %PBL.The whole idea of hybrid wire scaling, which is what we have been talking about, is that that there is a "Goldilocks" zone for piano wire to give its very best sound, roughly in a 45 to 60 %PBL range. For many pianos we would use the M type Paulello wire somewhere above note 40 to 50ish. The M type is equivalent to Mapes or Roslau wire. The Steinway B scale I did had the same wire sizes from note 40 up, using M type wire. The first four notes after the break were type 1, the rest to 30 type O. Generally speaking, where we are substituting a type 1 or type O wire for M type, we are doing so to get the %PBL UP into the Goldilocks zone. For example, F21 on the B yields 30.26 %PBL with M type wire, 36.51 %PBL with O type, and 47.69 %PBL with type 1. And making that type 1 substitution for type M is an audible and very worthy improvement. But it is still within very safe margins of breaking percentages.
All strings are 2/3rds stressed? Seems like you would rarely break one.Also seems like there must be a good bit of variation in the tension, if strings of similar diameter are tuned to different pitches.And, many pianos "cannot be brought up to 440 without breaking strings." At least, so I've been told by tuners.So here's a snip from another forum frequented by silverwoodpianos:
There's plenty of variance in incomes too.
Silverwood did not say there was variation in strings. There may not even be, for him. It's possible he chooses string diameters such that he can give them all the same stress.But if in fact strings do vary, then it's reasonable to ask the question. Are all strings at 66.0% breaking stress? Or are some at 30%, some 50%, some maybe 99%? What is the variation? And it's also reasonable to ask how much is the increase from playing. Tuners break strings, I've seen it myself on our church piano. F2 went on an upright, last time it was tuned. But I've seen churches where bass strings break every week or so.
When I say that a worker in Britain would be expected to earn around x pounds per year, I don't feel compelled to also list the highest and lowest earnings in the country or to make a point of stating that not every worker actually earns x pounds, owing to variation.
No, of course you don't, because you have focused on winning an argument at all costs, and have zero interest in why a string breaks.I have become more curious during the course of this thread. Silverwood is a respected tuner/technician, and while I disagree with him about significant digits I do respect his knowledge of piano mechanics and hope he'll continue here.One interesting thing is that when playing, most commonly the bass strings break. (I don't know what breaks when tuning) Why is that, when they are at the least relative tension? Is it like breaking racketballs?