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 Forum index » Diversions » Perplex City Puzzle Cards » PXC: Black Puzzle Cards
[SOLVED] #215 - Black - [Maze Set] - Harmony
Moderators: AnthraX101, bagsbee, BrianEnigma, cassandra, Giskard, lhall, Mikeyj, myf, poozle, RobMagus, xnbomb
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Author Message
Tinker
Guest


 		Harmony
The answer page for this one now has the comment:

This card has the following corrections:
The arrows on this card are printed incorrectly. When solving it, rotate the card to the right and read each row from left to right.

CHEERS
Tinker

PostPosted: Thu Apr 20, 2006 6:19 pm
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baf
Boot

Joined: 29 Mar 2006
Posts: 46

 		Re: Taps?
FreeMorpheme wrote:
Sorry to sound like a rem... but what the hell is taps?
Is it a US thing? Are all the puzzles going to be US-centric?


As an American, it seems to me like there are a lot more Brit-centric cards than US-centric cards.

PostPosted: Sat Apr 29, 2006 2:11 am
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baf
Boot

Joined: 29 Mar 2006
Posts: 46

 		Re: Harmony
Tinker wrote:
The answer page for this one now has the comment:

This card has the following corrections:
The arrows on this card are printed incorrectly. When solving it, rotate the card to the right and read each row from left to right.

CHEERS
Tinker


For what it's worth, the new revision of the card has the arrows printed correctly. Which makes this correction somewhat confusing.

PostPosted: Tue May 02, 2006 12:31 pm
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Ozisim
Greenhorn

Joined: 05 May 2006
Posts: 4
Location: Australia

 		Octives have twice the frequency
Magma wrote:
I haven't got this card yet so I can't check to see if there are any corrections for it. Also bear in mind I am not musically inclined. If you find any ignorance or misinterpretation on my part please feel free to poke a whole bunch of holes in it.

I'm determined to solve these cards myself rather than just fill in the answer and marvel in my uncanny ability to read letters from one webpage and type them in on another. If that fails, I at least would like to know *why* the answer was right Smile

The card shows the following waves (reading in the same direction that the first line goes, as mentioned in an earlier post)

445456 456456 456566 54445

I have 2 problems with this that nobody has mentioned here. Could anyone with musical talent who is familiar with this card, the solution, and music in general, confirm that they have the same problem, or tell me where I have gone wrong?



Okay... I didn't get the answer. I've never heard of Taps before. But I did nut out the melody in the following way:

Spoiler (Rollover to View):

Sound is heard in cycles per second. The card is printed as cycles per box, so you can't say that the first note is 400Hz, just that it is 4 cycles per box.

You don't need the exact notes to be able to recognise a tune. As long as they are the same space apart, it doesn't matter what key the song is in.

The waves of any note are twice as long as that note 1 octive higher.
There are 12 semi-tones in an octive. A semi-tone is 1 fret on a guitar.

So we call the first box note 1. It has 4 cycles per box. Therefore the note 12 semi-tones higher will have 8 cycles per box.
So obviously the box with 6 cycles, (6 being halfway between 4 and 8.) will be half way between those notes, 6 semi-tones (half of 12) above note 1.
And the box with 5 will be 3 semi-tones up.

I picked up my guitar and punched it out as best I could and had my house-guest ask me why I was sitting in front of my computer playing taps on a guitar. Confusing conversation followed where Sim learnt that she meant Taps as in the name of a song, not a technique for playing a guitar.


PostPosted: Sat May 20, 2006 6:28 am
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Magma
Veteran


Joined: 10 Jan 2006
Posts: 119

 		Re: Octives have twice the frequency
Ozisim wrote:
Spoiler (Rollover to View):

So we call the first box note 1. It has 4 cycles per box. Therefore the note 12 semi-tones higher will have 8 cycles per box.
So obviously the box with 6 cycles, (6 being halfway between 4 and 8.) will be half way between those notes, 6 semi-tones (half of 12) above note 1.


Not true. Because if you take the frequency (for example) 4 Hz, double it to 8 Hz and it is one octave higher. Double again, and it's 16 Hz and another octave higher. 4, 8, 16, 32, 64, 128... The relationship between frequency and the note it plays is therefore exponential, not linear. You can't take the midpoint and just say that is halfway between the frequencies. In fact the relationship between two consecutive notes is the twelfth root of two - that is to say that if you multiply the frequency of one note by 2^(1/12) you get the frequency of the next note up. Add twelve notes to the note you start with (counting all the sharps/flats) and you have one octave up. If you multiply 4 by 2^(1/12) twelve times you get simply 4 x 2 = 8 which is your double frequency for the octave higher.

Spoiler (Rollover to View):
In this case, the note 6 "keys" up from the 4-wave box is 4, x 2^(1/12) six times - which is 5.66 waves per box. The table below shows the relationship:

Key . . .. Frequency
Note . . . . . 4.00
Note + 1 . . 4.24
Note + 2 . . 4.49
Note + 3 . . 4.76
Note + 4 . . 5.04
Note + 5 . . 5.34
Note + 6 . . 5.66
Note + 7 . . 5.99
Note + 8 . . 6.35
Note + 9 . . 6.73
Note + 10 . 7.13
Note + 11 . 7.55
Note + 12 . 8.00

_________________
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PostPosted: Sat May 20, 2006 9:05 am
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jazzychad
Veteran

Joined: 03 May 2006
Posts: 74

 		I don't think that anyone has mentioned that Taps has *4* distinct pitches in the tune, and that there are only *3* different wavelengths printed on the card. I would argue that the 18th box should have 8 cycles drawn in it...

Also, as mentioned before I think... that there are 24 notes in Taps instead of 23... the "Name This Tune" square should be a box with 6 cycles drawn in it.

This card is FUBAR, imho... it was a great idea, but unfortunately it got botched during production... oh well...

PostPosted: Sat Jun 10, 2006 4:26 am
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Magma
Veteran


Joined: 10 Jan 2006
Posts: 119
jazzychad wrote:
I don't think that anyone has mentioned that Taps has *4* distinct pitches in the tune, and that there are only *3* different wavelengths printed on the card. I would argue that the 18th box should have 8 cycles drawn in it...


Actually I mentioned that on page 2...

Quote:
Spoiler (Rollover to View):
Problem 2: "Taps" actually has 24 notes, not 23. The missing note should be between 17 and 18, and be G one octave higher which will have a frequency double of the lower G, making it a square with 8 waves in it.

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PostPosted: Mon Jun 19, 2006 2:22 pm
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EnigmaDude
Kilroy


Joined: 03 Jul 2006
Posts: 2
Location: California

 		Unsovleable Cards
Oliver, yes I think that not all cards will have a solution. At least not for a while. For instance card #238 (Riemann) I don't think will be solved for quite some time. Its basically asking us to solve the Riemann Hypothesis which is a problem that many people have been working on for years. Its highly unlikely that we will solve this in any time soon and this is evident because of the $1M reward.

PostPosted: Mon Jul 03, 2006 3:55 pm
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Platinumflux
Boot


Joined: 03 Aug 2006
Posts: 43
Location: Ireland

 		There is a correction for this card. Apparently early versions were printed incorrectly, hence the reason that the earlier posts all claim, correctly in this case, that the tune is Taps backwards Shocked

PostPosted: Tue Aug 08, 2006 9:36 pm
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cmlobue
Veteran


Joined: 06 Sep 2006
Posts: 112
monkeytroll wrote:
Hey, why no spoiler tags?


I second that. I came here for a hint and got the answer almost instantly. Any chance people could edit the prior posts?

PostPosted: Wed Oct 18, 2006 10:37 am
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Adamthecat
Kilroy

Joined: 25 Sep 2006
Posts: 1

 		I've seen a couple of references to
Spoiler (Rollover to View):
Taps
containing 24 Notes.

This is of course correct, but was wondering if any reference was being made to Sgt Keith Clarks famous rendition at the Funeral of JFK where he famously missed a note?

Just a thought. Maybe I'm giving to much credit to Mind Candy!

PostPosted: Sat Oct 21, 2006 5:00 am
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Cabbage
Unfettered


Joined: 22 May 2006
Posts: 320
Location: North-East England, UK
cmlobue wrote:
monkeytroll wrote:
Hey, why no spoiler tags?


I second that. I came here for a hint and got the answer almost instantly. Any chance people could edit the prior posts?


I third that. It's jolly bad (wave)form. Razz

I had recognised the tune by the same method as Ozisim but I don't have a friend called Sim to ask what I am doing, and although I am familiar with the tune, I didn't know it's name.
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PostPosted: Sat Oct 21, 2006 6:16 am
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