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Thomas just received some music to practice for Kneisel Hall in a month and while he is at school, I am looking it over and for the life of me, I just can't remember a couple things. I ask for your kindness pahlease.
On the first one, what is the "x" over the A? Is is a ghost note or a double sharp?
On this second one, I know that numbers under the notes show fingerings, but what is the "5" about? Obviously we dont have 5 fingers on our left hand.
Jim(Thomases Dad)

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Obviously we dont have 5 fingers on our left hand.
Well, yes we have (sorry, couldn't resist…!) I have no idea what this 5 is doing there, though.
As for the cross, possibly a double sharp (what is the key signature ?), I have seen that once in a piano sheet (that was a long time ago and I don't remember which one, so I can't check). Maybe you can listen to a recording and see what note is played ?

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Ok, found it on imslp, thank you. In the file "Cover, title page, preface and index" (download it too), they explain about little crosses above the notes (= appoggiaturas). The only thing is that the cross in the example in the preface (+) is not the same as the one in the sheet (x). But I think that's just an inconsistency in the preface, as I'm not seeing any + signs in the sheet. The example given seems to refer to Violin 1, Sonate 1 - Adagio, 3rd bar.
EDIT : this boy here is playing those 5 with a fourth finger (don't ask me in what position it is). It could be an extender 4th, no idea (start of video = bar 39 of the Allegro)
And this is him playing the first passage you pasted, also with a 4th finger (starts at ~ bar 93). The appoggiatura can be clearly heard too.

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@JimandThomas -
If it's in G major, wtw found & linked a great video for you! It says in the video description, "...at Kneisel Hall Program for Maine Students, 2015"!
I have read that '4+' or '5' can mean extend the 4th finger.
From a cello forum (of all places 😄) I found the 'x' above a note means:
"...play those notes off the string, with a light spiccato, as proffered by guido" - seems there's usually a guide provided sometimes on the back(?) - which you may not have if you've been given a copy, but this was in reference to a Beethoven piece & may differ among composers.
An 'x' beside a note means: double sharp.
From Wikipedia:
A ghost note 'x' takes the place of where the pitch is indicated.
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