High frequency human genetic oscillators?
Here are some examples:


electric oscillators:

neural activity
cardiac automatism (0.8 ... 1 Hz)

mechanical oscillators (as a result of neural activity):

heart beats
breathing (0.2 ... 0.3 Hz)
intestinal peristaltic waves
vocal chords activity (up to a few kHz)
muscular spasm (pathological)

chemical oscillators:

insulin variation in concordance with glucose intake
endocrine oscillations
menstruation
feedback enabled metabolic pathways



See this Wikipedia page too: http://en.wikipedia.org/wiki/Oscillation#Human

When it comes to genetic oscillators, some of them follow circadian rhythm.


  A typical proliferating human cell divides on average every 24 h. This division timing allows cells to synchronize with other physiological processes and with the environment. The circadian clock, which orchestrates daily rhythms, directly regulates the cell division cycle and is a major synchronizing factor [5].


Immune system:


  In every single cell an oscillator goes ticking through a molecular clock operated by transcriptional/translational feedback loops driven by the rhythmic expression of circadian genes. This clock gene machinery steers daily oscillations in the regulation of immune cell activity, driving the periodicity in immune system function [1].


Glucose homeostasis:


  The master circadian clock, localized in suprachiasmatic nucleus (SCN), regulates multiple metabolic pathways, while feeding behavior and metabolite availability can in turn regulate the circadian clock [2].


Retina:


  ... the retina itself possesses intrinsic circadian oscillations, exemplified by diurnal fluctuations in visual sensitivity, neurotransmitter levels, and outer segment turnover rates. Recently, it has been noted that both central and peripheral oscillators share a molecular clock consisting of an endogenous, circadian-driven, transcription-translation feedback loop that cycles with a periodicity of approximately 24 hours [3].


But there are others which don't.


  Genetic oscillators are ubiquitous regulatory motifs in the molecular control circuits of living cells. Prominent examples include the cell cycle and cellular signaling [4].


The frequency is much lower in some human cells [6]:


Cell Type      Process    Time
______________ __________ ______________________
fly embryo     mitosis    8 minutes
bacteria       mitosis    20 minutes
yeast          mitosis    2 hours
human skin     mitosis    20 - 24 hours
human sperm    meiosis    about 64 days
human liver    mitosis    1 year or more
human egg      meiosis    up to 40 years or more
human nerve    mitosis    never, once mature





References:


Vinciguerra M, Borghesan M, Pazienza V, Piepoli A, Palmieri O, Tarquini R, Tevy MF, De Cata A, Mazzoccoli G. The transcriptional regulators, the immune system and the the circadian clock. J. Biol. Regul. Homeost. Agents. 2013;27(1):9-22. PubMed PMID: 23489683. 
Chrościcki P, Usarek M, Bryla J. [The role of biological clock in glucose homeostasis]. Postepy Hig Med Dosw (Online). 2013 Jun 20;67:569-83. doi: 10.5604/17322693.1053906. PubMed PMID: 23799401. 
Ramsey DJ, Ramsey KM, Vavvas DG. Genetic advances in ophthalmology: the role of melanopsin-expressing, intrinsically photosensitive retinal ganglion cells in the circadian organization of the visual system. Semin Ophthalmol. 2013 Sep 6;28(5-6):406-21. doi: 10.3109/08820538.2013.825294. PubMed PMID: 24010846. 
Davit A. Potoyan and Peter G. Wolynes. On the dephasing of genetic oscillators. PNAS 2014 ; published ahead of print January 27, 2014, doi:10.1073/pnas.1323433111
Samuel Bernard and Hanspeter Herzel. Why Do Cells Cycle with a 24 Hour Period? Genome Informatics 17(1): 72{79 (2006).
wiseGEEK.org. How Long Does it Take for Cells to Divide? (accessed 21.07.2014)