
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The "Twelve-Tone Equal Temperament" is a universal tuning system. In the Ming Dynasty, Zhu Zaiyu was the first to calculate the ratio of semitones using mathematical methods, making an important contribution to the development of this theory. The Twelve-Tone Equal Temperament divides a pure octave into twelve parts, resulting in thirteen individual tones. Starting from the second tone, the frequency ratio of each tone to its previous tone is equal to $\sqrt[12]{2}$. If the frequency of the first tone is 1, then the frequency of the seventh tone is $\_\_\_\_\_\_$.

Present the answer in LaTex format: \boxed{Your answer}
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